Basic Math Examples

$- 6 = - \frac{1}{4} c + 3$

Step 1

Rewrite the equation as $- \frac{1}{4} c + 3 = - 6$ .

$- \frac{1}{4} c + 3 = - 6$

Step 2

Combine $c$ and $\frac{1}{4}$ .

$- \frac{c}{4} + 3 = - 6$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $3$ from both sides of the equation.

$- \frac{c}{4} = - 6 - 3$

Step 3.2

Subtract $3$ from $- 6$ .

$- \frac{c}{4} = - 9$

Step 4

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{c}{4}) = - 4 \cdot - 9$

Step 5

Simplify both sides of the equation.

Tap for more steps...

Step 5.1

Simplify the left side.

Tap for more steps...

Step 5.1.1

Simplify $- 4 (- \frac{c}{4})$ .

Tap for more steps...

Step 5.1.1.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 5.1.1.1.1

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

$- 4 \frac{- c}{4} = - 4 \cdot - 9$

Step 5.1.1.1.2

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- c}{4} = - 4 \cdot - 9$

Step 5.1.1.1.3

Cancel the common factor.

$4 \cdot - 1 \frac{- c}{4} = - 4 \cdot - 9$

Step 5.1.1.1.4

Rewrite the expression.

$- - c = - 4 \cdot - 9$

Step 5.1.1.2

Multiply.

Tap for more steps...

Step 5.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 c = - 4 \cdot - 9$

Step 5.1.1.2.2

Multiply $c$ by $1$ .

$c = - 4 \cdot - 9$

Step 5.2

Simplify the right side.

Tap for more steps...

Step 5.2.1

Multiply $- 4$ by $- 9$ .

$c = 36$