Finite Math Examples

$75 h = - \frac{1}{98} \cdot 75^{2}$

Step 1

Simplify.

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Step 1.1

Raise $75$ to the power of $2$ .

$75 h = - \frac{1}{98} \cdot 5625$

Step 1.2

Multiply $- \frac{1}{98} \cdot 5625$ .

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Step 1.2.1

Multiply $5625$ by $- 1$ .

$75 h = - 5625 (\frac{1}{98})$

Step 1.2.2

Combine $- 5625$ and $\frac{1}{98}$ .

$75 h = \frac{- 5625}{98}$

Step 1.3

Move the negative in front of the fraction.

$75 h = - \frac{5625}{98}$

Step 2

Divide each term in $75 h = - \frac{5625}{98}$ by $75$ and simplify.

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Step 2.1

Divide each term in $75 h = - \frac{5625}{98}$ by $75$ .

$\frac{75 h}{75} = \frac{- \frac{5625}{98}}{75}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $75$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{75 h}{75} = \frac{- \frac{5625}{98}}{75}$

Step 2.2.1.2

Divide $h$ by $1$ .

$h = \frac{- \frac{5625}{98}}{75}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$h = - \frac{5625}{98} \cdot \frac{1}{75}$

Step 2.3.2

Cancel the common factor of $75$ .

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Step 2.3.2.1

Move the leading negative in $- \frac{5625}{98}$ into the numerator.

$h = \frac{- 5625}{98} \cdot \frac{1}{75}$

Step 2.3.2.2

Factor $75$ out of $- 5625$ .

$h = \frac{75 (- 75)}{98} \cdot \frac{1}{75}$

Step 2.3.2.3

Cancel the common factor.

$h = \frac{75 \cdot - 75}{98} \cdot \frac{1}{75}$

Step 2.3.2.4

Rewrite the expression.

$h = \frac{- 75}{98}$

Step 2.3.3

Move the negative in front of the fraction.

$h = - \frac{75}{98}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$h = - \frac{75}{98}$

Decimal Form:

$h = - 0.76530612 \dots$