Finite Math Examples

$- \frac{b}{2 a} = - \frac{- 1.2}{2 (0.5)}$

Step 1

Factor each term.

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Step 1.1

Multiply $2$ by $0.5$ .

$- \frac{b}{2 a} = - \frac{- 1.2}{1}$

Step 1.2

Divide $- 1.2$ by $1$ .

$- \frac{b}{2 a} = - - 1.2$

Step 1.3

Multiply $- 1$ by $- 1.2$ .

$- \frac{b}{2 a} = 1.2$

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$2 a, 1$

Step 2.2

The LCM of one and any expression is the expression.

$2 a$

Step 3

Multiply each term in $- \frac{b}{2 a} = 1.2$ by $2 a$ to eliminate the fractions.

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Step 3.1

Multiply each term in $- \frac{b}{2 a} = 1.2$ by $2 a$ .

$- \frac{b}{2 a} (2 a) = 1.2 (2 a)$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2 a$ .

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Step 3.2.1.1

Move the leading negative in $- \frac{b}{2 a}$ into the numerator.

$\frac{- b}{2 a} (2 a) = 1.2 (2 a)$

Step 3.2.1.2

Cancel the common factor.

$\frac{- b}{2 a} (2 a) = 1.2 (2 a)$

Step 3.2.1.3

Rewrite the expression.

$- b = 1.2 (2 a)$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply $2$ by $1.2$ .

$- b = 2.4 a$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $2.4 a = - b$ .

$2.4 a = - b$

Step 4.2

Divide each term in $2.4 a = - b$ by $2.4$ and simplify.

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Step 4.2.1

Divide each term in $2.4 a = - b$ by $2.4$ .

$\frac{2.4 a}{2.4} = \frac{- b}{2.4}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $2.4$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{2.4 a}{2.4} = \frac{- b}{2.4}$

Step 4.2.2.1.2

Divide $a$ by $1$ .

$a = \frac{- b}{2.4}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Move the negative in front of the fraction.

$a = - \frac{b}{2.4}$

Step 4.2.3.2

Multiply by $1$ .

$a = - \frac{1 b}{2.4}$

Step 4.2.3.3

Factor $2.4$ out of $2.4$ .

$a = - \frac{1 b}{2.4 (1)}$

Step 4.2.3.4

Separate fractions.

$a = - (\frac{1}{2.4} \cdot \frac{b}{1})$

Step 4.2.3.5

Divide $1$ by $2.4$ .

$a = - (0.41\overline{6} \frac{b}{1})$

Step 4.2.3.6

Divide $b$ by $1$ .

$a = - (0.41\overline{6} b)$

Step 4.2.3.7

Multiply $0.41\overline{6}$ by $- 1$ .

$a = - 0.41\overline{6} b$