Algebra Examples

$\frac{h}{- 7.5} = - 4$

Step 1

Multiply both sides of the equation by $- 7.5$ .

$- 7.5 \frac{h}{- 7.5} = - 7.5 \cdot - 4$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $- 7.5 \frac{h}{- 7.5}$ .

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Step 2.1.1.1

Cancel the common factor of $7.5$ .

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Step 2.1.1.1.1

Factor $7.5$ out of $- 7.5$ .

$7.5 (- 1) \frac{h}{- 7.5} = - 7.5 \cdot - 4$

Step 2.1.1.1.2

Factor $7.5$ out of $- 7.5$ .

$7.5 \cdot - 1 \frac{h}{7.5 \cdot - 1} = - 7.5 \cdot - 4$

Step 2.1.1.1.3

Cancel the common factor.

$7.5 \cdot - 1 \frac{h}{7.5 \cdot - 1} = - 7.5 \cdot - 4$

Step 2.1.1.1.4

Rewrite the expression.

$- \frac{h}{- 1} = - 7.5 \cdot - 4$

Step 2.1.1.2

Simplify the expression.

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Step 2.1.1.2.1

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

$- (- 1 \cdot h) = - 7.5 \cdot - 4$

Step 2.1.1.2.2

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

$- - h = - 7.5 \cdot - 4$

Step 2.1.1.3

Multiply $- - h$ .

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Step 2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 h = - 7.5 \cdot - 4$

Step 2.1.1.3.2

Multiply $h$ by $1$ .

$h = - 7.5 \cdot - 4$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 7.5$ by $- 4$ .

$h = 30$