Finite Math Examples

$\frac{- 4}{1} = \frac{x}{- 2}$

Step 1

Rewrite the equation as $\frac{x}{- 2} = \frac{- 4}{1}$ .

$\frac{x}{- 2} = \frac{- 4}{1}$

Step 2

Multiply both sides of the equation by $- 2$ .

$- 2 \frac{x}{- 2} = - 2 (\frac{- 4}{1})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $- 2 \frac{x}{- 2}$ .

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Step 3.1.1.1

Cancel the common factor of $2$ .

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Step 3.1.1.1.1

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{x}{- 2} = - 2 (\frac{- 4}{1})$

Step 3.1.1.1.2

Factor $2$ out of $- 2$ .

$2 \cdot - 1 \frac{x}{2 \cdot - 1} = - 2 (\frac{- 4}{1})$

Step 3.1.1.1.3

Cancel the common factor.

$2 \cdot - 1 \frac{x}{2 \cdot - 1} = - 2 (\frac{- 4}{1})$

Step 3.1.1.1.4

Rewrite the expression.

$- \frac{x}{- 1} = - 2 (\frac{- 4}{1})$

Step 3.1.1.2

Simplify the expression.

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Step 3.1.1.2.1

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$- (- 1 \cdot x) = - 2 (\frac{- 4}{1})$

Step 3.1.1.2.2

Rewrite $- 1 \cdot x$ as $- x$ .

$- - x = - 2 (\frac{- 4}{1})$

Step 3.1.1.3

Multiply $- - x$ .

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Step 3.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 x = - 2 (\frac{- 4}{1})$

Step 3.1.1.3.2

Multiply $x$ by $1$ .

$x = - 2 (\frac{- 4}{1})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $- 2 (\frac{- 4}{1})$ .

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Step 3.2.1.1

Divide $- 4$ by $1$ .

$x = - 2 \cdot - 4$

Step 3.2.1.2

Multiply $- 2$ by $- 4$ .

$x = 8$