Algebra Examples

$A + B + C = 0$ $8 A + 6 B + 4 C = 1$ $15 A + 5 B + 3 C = 0$

Step 1

Move all terms not containing $A$ to the right side of the equation.

Tap for more steps...

Step 1.1

Subtract $B$ from both sides of the equation.

$A + C = - B$

$8 A + 6 B + 4 C = 1$

$15 A + 5 B + 3 C = 0$

Step 1.2

Subtract $C$ from both sides of the equation.

$A = - B - C$

$8 A + 6 B + 4 C = 1$

$15 A + 5 B + 3 C = 0$

$A = - B - C$

$8 A + 6 B + 4 C = 1$

$15 A + 5 B + 3 C = 0$

Step 2

Replace all occurrences of $A$ with $- B - C$ in each equation.

Tap for more steps...

Step 2.1

Replace all occurrences of $A$ in $8 A + 6 B + 4 C = 1$ with $- B - C$ .

$8 (- B - C) + 6 B + 4 C = 1$

$A = - B - C$

$15 A + 5 B + 3 C = 0$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Simplify $8 (- B - C) + 6 B + 4 C$ .

Tap for more steps...

Step 2.2.1.1

Simplify each term.

Tap for more steps...

Step 2.2.1.1.1

Apply the distributive property.

$8 (- B) + 8 (- C) + 6 B + 4 C = 1$

$A = - B - C$

$15 A + 5 B + 3 C = 0$

Step 2.2.1.1.2

Multiply $- 1$ by $8$ .

$- 8 B + 8 (- C) + 6 B + 4 C = 1$

$A = - B - C$

$15 A + 5 B + 3 C = 0$

Step 2.2.1.1.3

Multiply $- 1$ by $8$ .

$- 8 B - 8 C + 6 B + 4 C = 1$

$A = - B - C$

$15 A + 5 B + 3 C = 0$

$- 8 B - 8 C + 6 B + 4 C = 1$

$A = - B - C$

$15 A + 5 B + 3 C = 0$

Step 2.2.1.2

Simplify by adding terms.

Tap for more steps...

Step 2.2.1.2.1

Add $- 8 B$ and $6 B$ .

$- 2 B - 8 C + 4 C = 1$

$A = - B - C$

$15 A + 5 B + 3 C = 0$

Step 2.2.1.2.2

Add $- 8 C$ and $4 C$ .

$- 2 B - 4 C = 1$

$A = - B - C$

$15 A + 5 B + 3 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

$15 A + 5 B + 3 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

$15 A + 5 B + 3 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

$15 A + 5 B + 3 C = 0$

Step 2.3

Replace all occurrences of $A$ in $15 A + 5 B + 3 C = 0$ with $- B - C$ .

$15 (- B - C) + 5 B + 3 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 2.4

Simplify the left side.

Tap for more steps...

Step 2.4.1

Simplify $15 (- B - C) + 5 B + 3 C$ .

Tap for more steps...

Step 2.4.1.1

Simplify each term.

Tap for more steps...

Step 2.4.1.1.1

Apply the distributive property.

$15 (- B) + 15 (- C) + 5 B + 3 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 2.4.1.1.2

Multiply $- 1$ by $15$ .

$- 15 B + 15 (- C) + 5 B + 3 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 2.4.1.1.3

Multiply $- 1$ by $15$ .

$- 15 B - 15 C + 5 B + 3 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

$- 15 B - 15 C + 5 B + 3 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 2.4.1.2

Simplify by adding terms.

Tap for more steps...

Step 2.4.1.2.1

Add $- 15 B$ and $5 B$ .

$- 10 B - 15 C + 3 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 2.4.1.2.2

Add $- 15 C$ and $3 C$ .

$- 10 B - 12 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

$- 10 B - 12 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

$- 10 B - 12 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

$- 10 B - 12 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

$- 10 B - 12 C = 0$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 3

Solve for $B$ in $- 10 B - 12 C = 0$ .

Tap for more steps...

Step 3.1

Add $12 C$ to both sides of the equation.

$- 10 B = 12 C$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 3.2

Divide each term in $- 10 B = 12 C$ by $- 10$ and simplify.

Tap for more steps...

Step 3.2.1

Divide each term in $- 10 B = 12 C$ by $- 10$ .

$\frac{- 10 B}{- 10} = \frac{12 C}{- 10}$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 3.2.2

Simplify the left side.

Tap for more steps...

Step 3.2.2.1

Cancel the common factor of $- 10$ .

Tap for more steps...

Step 3.2.2.1.1

Cancel the common factor.

$\frac{- 10 B}{- 10} = \frac{12 C}{- 10}$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 3.2.2.1.2

Divide $B$ by $1$ .

$B = \frac{12 C}{- 10}$

$- 2 B - 4 C = 1$

$A = - B - C$

$B = \frac{12 C}{- 10}$

$- 2 B - 4 C = 1$

$A = - B - C$

$B = \frac{12 C}{- 10}$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 3.2.3

Simplify the right side.

Tap for more steps...

Step 3.2.3.1

Cancel the common factor of $12$ and $- 10$ .

Tap for more steps...

Step 3.2.3.1.1

Factor $2$ out of $12 C$ .

$B = \frac{2 (6 C)}{- 10}$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 3.2.3.1.2

Cancel the common factors.

Tap for more steps...

Step 3.2.3.1.2.1

Factor $2$ out of $- 10$ .

$B = \frac{2 (6 C)}{2 (- 5)}$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 3.2.3.1.2.2

Cancel the common factor.

$B = \frac{2 (6 C)}{2 \cdot - 5}$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 3.2.3.1.2.3

Rewrite the expression.

$B = \frac{6 C}{- 5}$

$- 2 B - 4 C = 1$

$A = - B - C$

$B = \frac{6 C}{- 5}$

$- 2 B - 4 C = 1$

$A = - B - C$

$B = \frac{6 C}{- 5}$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 3.2.3.2

Move the negative in front of the fraction.

$B = - \frac{6 C}{5}$

$- 2 B - 4 C = 1$

$A = - B - C$

$B = - \frac{6 C}{5}$

$- 2 B - 4 C = 1$

$A = - B - C$

$B = - \frac{6 C}{5}$

$- 2 B - 4 C = 1$

$A = - B - C$

$B = - \frac{6 C}{5}$

$- 2 B - 4 C = 1$

$A = - B - C$

Step 4

Replace all occurrences of $B$ with $- \frac{6 C}{5}$ in each equation.

Tap for more steps...

Step 4.1

Replace all occurrences of $B$ in $- 2 B - 4 C = 1$ with $- \frac{6 C}{5}$ .

$- 2 (- \frac{6 C}{5}) - 4 C = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Simplify $- 2 (- \frac{6 C}{5}) - 4 C$ .

Tap for more steps...

Step 4.2.1.1

Multiply $- 2 (- \frac{6 C}{5})$ .

Tap for more steps...

Step 4.2.1.1.1

Multiply $- 1$ by $- 2$ .

$2 (\frac{6 C}{5}) - 4 C = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.1.2

Combine $2$ and $\frac{6 C}{5}$ .

$\frac{2 (6 C)}{5} - 4 C = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.1.3

Multiply $6$ by $2$ .

$\frac{12 C}{5} - 4 C = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

$\frac{12 C}{5} - 4 C = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.2

To write $- 4 C$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{12 C}{5} - 4 C \cdot \frac{5}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.3

Simplify terms.

Tap for more steps...

Step 4.2.1.3.1

Combine $- 4 C$ and $\frac{5}{5}$ .

$\frac{12 C}{5} + \frac{- 4 C \cdot 5}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.3.2

Combine the numerators over the common denominator.

$\frac{12 C - 4 C \cdot 5}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

$\frac{12 C - 4 C \cdot 5}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.4

Simplify the numerator.

Tap for more steps...

Step 4.2.1.4.1

Factor $4 C$ out of $12 C - 4 C \cdot 5$ .

Tap for more steps...

Step 4.2.1.4.1.1

Factor $4 C$ out of $12 C$ .

$\frac{4 C (3) - 4 C \cdot 5}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.4.1.2

Factor $4 C$ out of $- 4 C \cdot 5$ .

$\frac{4 C (3) + 4 C (- 1 \cdot 5)}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.4.1.3

Factor $4 C$ out of $4 C (3) + 4 C (- 1 \cdot 5)$ .

$\frac{4 C (3 - 1 \cdot 5)}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

$\frac{4 C (3 - 1 \cdot 5)}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.4.2

Multiply $- 1$ by $5$ .

$\frac{4 C (3 - 5)}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.4.3

Subtract $5$ from $3$ .

$\frac{4 C \cdot - 2}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.4.4

Multiply $- 2$ by $4$ .

$\frac{- 8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

$\frac{- 8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.2.1.5

Move the negative in front of the fraction.

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = - B - C$

Step 4.3

Replace all occurrences of $B$ in $A = - B - C$ with $- \frac{6 C}{5}$ .

$A = - (- \frac{6 C}{5}) - C$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4

Simplify the right side.

Tap for more steps...

Step 4.4.1

Simplify $- (- \frac{6 C}{5}) - C$ .

Tap for more steps...

Step 4.4.1.1

Multiply $- (- \frac{6 C}{5})$ .

Tap for more steps...

Step 4.4.1.1.1

Multiply $- 1$ by $- 1$ .

$A = 1 (\frac{6 C}{5}) - C$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4.1.1.2

Multiply $\frac{6 C}{5}$ by $1$ .

$A = \frac{6 C}{5} - C$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = \frac{6 C}{5} - C$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4.1.2

To write $- C$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$A = \frac{6 C}{5} - C \cdot \frac{5}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4.1.3

Simplify terms.

Tap for more steps...

Step 4.4.1.3.1

Combine $- C$ and $\frac{5}{5}$ .

$A = \frac{6 C}{5} + \frac{- C \cdot 5}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4.1.3.2

Combine the numerators over the common denominator.

$A = \frac{6 C - C \cdot 5}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = \frac{6 C - C \cdot 5}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4.1.4

Simplify the numerator.

Tap for more steps...

Step 4.4.1.4.1

Factor $C$ out of $6 C - C \cdot 5$ .

Tap for more steps...

Step 4.4.1.4.1.1

Factor $C$ out of $6 C$ .

$A = \frac{C \cdot 6 - C \cdot 5}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4.1.4.1.2

Factor $C$ out of $- C \cdot 5$ .

$A = \frac{C \cdot 6 + C (- 1 \cdot 5)}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4.1.4.1.3

Factor $C$ out of $C \cdot 6 + C (- 1 \cdot 5)$ .

$A = \frac{C (6 - 1 \cdot 5)}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = \frac{C (6 - 1 \cdot 5)}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4.1.4.2

Multiply $- 1$ by $5$ .

$A = \frac{C (6 - 5)}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4.1.4.3

Subtract $5$ from $6$ .

$A = \frac{C \cdot 1}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = \frac{C \cdot 1}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 4.4.1.5

Multiply $C$ by $1$ .

$A = \frac{C}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = \frac{C}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = \frac{C}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

$A = \frac{C}{5}$

$- \frac{8 C}{5} = 1$

$B = - \frac{6 C}{5}$

Step 5

Solve for $C$ in $- \frac{8 C}{5} = 1$ .

Tap for more steps...

Step 5.1

Multiply both sides of the equation by $- \frac{5}{8}$ .

$- \frac{5}{8} \cdot (- \frac{8 C}{5}) = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2

Simplify both sides of the equation.

Tap for more steps...

Step 5.2.1

Simplify the left side.

Tap for more steps...

Step 5.2.1.1

Simplify $- \frac{5}{8} (- \frac{8 C}{5})$ .

Tap for more steps...

Step 5.2.1.1.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 5.2.1.1.1.1

Move the leading negative in $- \frac{5}{8}$ into the numerator.

$\frac{- 5}{8} \cdot (- \frac{8 C}{5}) = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2.1.1.1.2

Move the leading negative in $- \frac{8 C}{5}$ into the numerator.

$\frac{- 5}{8} \cdot \frac{- 8 C}{5} = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2.1.1.1.3

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{8} \cdot \frac{- 8 C}{5} = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2.1.1.1.4

Cancel the common factor.

$\frac{5 \cdot - 1}{8} \cdot \frac{- 8 C}{5} = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2.1.1.1.5

Rewrite the expression.

$\frac{- 1}{8} \cdot (- 8 C) = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

$\frac{- 1}{8} \cdot (- 8 C) = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2.1.1.2

Cancel the common factor of $8$ .

Tap for more steps...

Step 5.2.1.1.2.1

Factor $8$ out of $- 8 C$ .

$\frac{- 1}{8} \cdot (8 (- C)) = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2.1.1.2.2

Cancel the common factor.

$\frac{- 1}{8} \cdot (8 (- C)) = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2.1.1.2.3

Rewrite the expression.

$C = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

$C = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2.1.1.3

Multiply.

Tap for more steps...

Step 5.2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 C = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2.1.1.3.2

Multiply $C$ by $1$ .

$C = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

$C = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

$C = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

$C = - \frac{5}{8} \cdot 1$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 5.2.2

Simplify the right side.

Tap for more steps...

Step 5.2.2.1

Multiply $- 1$ by $1$ .

$C = - \frac{5}{8}$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

$C = - \frac{5}{8}$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

$C = - \frac{5}{8}$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

$C = - \frac{5}{8}$

$A = \frac{C}{5}$

$B = - \frac{6 C}{5}$

Step 6

Replace all occurrences of $C$ with $- \frac{5}{8}$ in each equation.

Tap for more steps...

Step 6.1

Replace all occurrences of $C$ in $A = \frac{C}{5}$ with $- \frac{5}{8}$ .

$A = \frac{- \frac{5}{8}}{5}$

$C = - \frac{5}{8}$

$B = - \frac{6 C}{5}$

Step 6.2

Simplify the right side.

Tap for more steps...

Step 6.2.1

Simplify $\frac{- \frac{5}{8}}{5}$ .

Tap for more steps...

Step 6.2.1.1

Multiply the numerator by the reciprocal of the denominator.

$A = - \frac{5}{8} \cdot \frac{1}{5}$

$C = - \frac{5}{8}$

$B = - \frac{6 C}{5}$

Step 6.2.1.2

Cancel the common factor of $5$ .

Tap for more steps...

Step 6.2.1.2.1

Move the leading negative in $- \frac{5}{8}$ into the numerator.

$A = \frac{- 5}{8} \cdot \frac{1}{5}$

$C = - \frac{5}{8}$

$B = - \frac{6 C}{5}$

Step 6.2.1.2.2

Factor $5$ out of $- 5$ .

$A = \frac{5 (- 1)}{8} \cdot \frac{1}{5}$

$C = - \frac{5}{8}$

$B = - \frac{6 C}{5}$

Step 6.2.1.2.3

Cancel the common factor.

$A = \frac{5 \cdot - 1}{8} \cdot \frac{1}{5}$

$C = - \frac{5}{8}$

$B = - \frac{6 C}{5}$

Step 6.2.1.2.4

Rewrite the expression.

$A = \frac{- 1}{8}$

$C = - \frac{5}{8}$

$B = - \frac{6 C}{5}$

$A = \frac{- 1}{8}$

$C = - \frac{5}{8}$

$B = - \frac{6 C}{5}$

Step 6.2.1.3

Move the negative in front of the fraction.

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = - \frac{6 C}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = - \frac{6 C}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = - \frac{6 C}{5}$

Step 6.3

Replace all occurrences of $C$ in $B = - \frac{6 C}{5}$ with $- \frac{5}{8}$ .

$B = - \frac{6 (- \frac{5}{8})}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4

Simplify the right side.

Tap for more steps...

Step 6.4.1

Simplify $- \frac{6 (- \frac{5}{8})}{5}$ .

Tap for more steps...

Step 6.4.1.1

Simplify the numerator.

Tap for more steps...

Step 6.4.1.1.1

Multiply $- 1$ by $6$ .

$B = - \frac{- 6 (\frac{5}{8})}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.1.2

Combine $- 6$ and $\frac{5}{8}$ .

$B = - \frac{\frac{- 6 \cdot 5}{8}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = - \frac{\frac{- 6 \cdot 5}{8}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.2

Multiply $- 6$ by $5$ .

$B = - \frac{\frac{- 30}{8}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 6.4.1.3.1

Cancel the common factor of $- 30$ and $8$ .

Tap for more steps...

Step 6.4.1.3.1.1

Factor $2$ out of $- 30$ .

$B = - \frac{\frac{2 (- 15)}{8}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.3.1.2

Cancel the common factors.

Tap for more steps...

Step 6.4.1.3.1.2.1

Factor $2$ out of $8$ .

$B = - \frac{\frac{2 \cdot - 15}{2 \cdot 4}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.3.1.2.2

Cancel the common factor.

$B = - \frac{\frac{2 \cdot - 15}{2 \cdot 4}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.3.1.2.3

Rewrite the expression.

$B = - \frac{\frac{- 15}{4}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = - \frac{\frac{- 15}{4}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = - \frac{\frac{- 15}{4}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.3.2

Move the negative in front of the fraction.

$B = - \frac{- \frac{15}{4}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = - \frac{- \frac{15}{4}}{5}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.4

Multiply the numerator by the reciprocal of the denominator.

$B = - (- \frac{15}{4} \cdot \frac{1}{5})$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.5

Cancel the common factor of $5$ .

Tap for more steps...

Step 6.4.1.5.1

Move the leading negative in $- \frac{15}{4}$ into the numerator.

$B = - (\frac{- 15}{4} \cdot \frac{1}{5})$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.5.2

Factor $5$ out of $- 15$ .

$B = - (\frac{5 (- 3)}{4} \cdot \frac{1}{5})$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.5.3

Cancel the common factor.

$B = - (\frac{5 \cdot - 3}{4} \cdot \frac{1}{5})$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.5.4

Rewrite the expression.

$B = - \frac{- 3}{4}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = - \frac{- 3}{4}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.6

Move the negative in front of the fraction.

$B = \frac{3}{4}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.7

Multiply $- - \frac{3}{4}$ .

Tap for more steps...

Step 6.4.1.7.1

Multiply $- 1$ by $- 1$ .

$B = 1 (\frac{3}{4})$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 6.4.1.7.2

Multiply $\frac{3}{4}$ by $1$ .

$B = \frac{3}{4}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = \frac{3}{4}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = \frac{3}{4}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = \frac{3}{4}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

$B = \frac{3}{4}$

$A = - \frac{1}{8}$

$C = - \frac{5}{8}$

Step 7

List all of the solutions.

$B = \frac{3}{4}, A = - \frac{1}{8}, C = - \frac{5}{8}$