Finite Math Examples

$- \frac{b}{2 a} = - \frac{- 18}{2 (3)}$

Step 1

Divide each term in $- \frac{b}{2 a} = - \frac{- 18}{2 (3)}$ by $- 1$ and simplify.

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Step 1.1

Divide each term in $- \frac{b}{2 a} = - \frac{- 18}{2 (3)}$ by $- 1$ .

$\frac{- \frac{b}{2 a}}{- 1} = \frac{- \frac{- 18}{2 (3)}}{- 1}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Dividing two negative values results in a positive value.

$\frac{\frac{b}{2 a}}{1} = \frac{- \frac{- 18}{2 (3)}}{- 1}$

Step 1.2.2

Divide $\frac{b}{2 a}$ by $1$ .

$\frac{b}{2 a} = \frac{- \frac{- 18}{2 (3)}}{- 1}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Cancel the common factor of $- 18$ and $2$ .

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Step 1.3.1.1

Factor $2$ out of $- 18$ .

$\frac{b}{2 a} = \frac{- \frac{2 \cdot - 9}{2 \cdot 3}}{- 1}$

Step 1.3.1.2

Cancel the common factors.

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Step 1.3.1.2.1

Factor $2$ out of $2 \cdot 3$ .

$\frac{b}{2 a} = \frac{- \frac{2 \cdot - 9}{2 (3)}}{- 1}$

Step 1.3.1.2.2

Cancel the common factor.

$\frac{b}{2 a} = \frac{- \frac{2 \cdot - 9}{2 \cdot 3}}{- 1}$

Step 1.3.1.2.3

Rewrite the expression.

$\frac{b}{2 a} = \frac{- \frac{- 9}{3}}{- 1}$

Step 1.3.2

Cancel the common factor of $- 9$ and $3$ .

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Step 1.3.2.1

Factor $3$ out of $- 9$ .

$\frac{b}{2 a} = \frac{- \frac{3 \cdot - 3}{3}}{- 1}$

Step 1.3.2.2

Cancel the common factors.

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Step 1.3.2.2.1

Factor $3$ out of $3$ .

$\frac{b}{2 a} = \frac{- \frac{3 \cdot - 3}{3 (1)}}{- 1}$

Step 1.3.2.2.2

Cancel the common factor.

$\frac{b}{2 a} = \frac{- \frac{3 \cdot - 3}{3 \cdot 1}}{- 1}$

Step 1.3.2.2.3

Rewrite the expression.

$\frac{b}{2 a} = \frac{- \frac{- 3}{1}}{- 1}$

Step 1.3.2.2.4

Divide $- 3$ by $1$ .

$\frac{b}{2 a} = \frac{- - 3}{- 1}$

Step 1.3.3

Dividing two negative values results in a positive value.

$\frac{b}{2 a} = \frac{- 3}{1}$

Step 1.3.4

Divide $- 3$ by $1$ .

$\frac{b}{2 a} = - 3$

Step 2

Multiply both sides by $2 a$ .

$\frac{b}{2 a} (2 a) = - 3 (2 a)$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{b}{2 a} (2 a)$ .

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Step 3.1.1.1

Rewrite using the commutative property of multiplication.

$2 \frac{b}{2 a} a = - 3 (2 a)$

Step 3.1.1.2

Cancel the common factor of $2$ .

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Step 3.1.1.2.1

Factor $2$ out of $2 a$ .

$2 \frac{b}{2 (a)} a = - 3 (2 a)$

Step 3.1.1.2.2

Cancel the common factor.

$2 \frac{b}{2 a} a = - 3 (2 a)$

Step 3.1.1.2.3

Rewrite the expression.

$\frac{b}{a} a = - 3 (2 a)$

Step 3.1.1.3

Cancel the common factor of $a$ .

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Step 3.1.1.3.1

Cancel the common factor.

$\frac{b}{a} a = - 3 (2 a)$

Step 3.1.1.3.2

Rewrite the expression.

$b = - 3 (2 a)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $2$ by $- 3$ .

$b = - 6 a$