Precalculus Examples

$c = \frac{1}{2} \cdot (m p)$

Step 1

Rewrite the equation as $\frac{1}{2} \cdot (m p) = c$ .

$\frac{1}{2} \cdot (m p) = c$

Step 2

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (m p)) = 2 c$

Step 3

Simplify the left side.

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Step 3.1

Simplify $2 (\frac{1}{2} \cdot (m p))$ .

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Step 3.1.1

Multiply $\frac{1}{2} (m p)$ .

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Step 3.1.1.1

Combine $m$ and $\frac{1}{2}$ .

$2 (\frac{m}{2} p) = 2 c$

Step 3.1.1.2

Combine $\frac{m}{2}$ and $p$ .

$2 \frac{m p}{2} = 2 c$

Step 3.1.2

Cancel the common factor of $2$ .

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Step 3.1.2.1

Cancel the common factor.

$2 \frac{m p}{2} = 2 c$

Step 3.1.2.2

Rewrite the expression.

$m p = 2 c$

Step 4

Divide each term in $m p = 2 c$ by $p$ and simplify.

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Step 4.1

Divide each term in $m p = 2 c$ by $p$ .

$\frac{m p}{p} = \frac{2 c}{p}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $p$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{m p}{p} = \frac{2 c}{p}$

Step 4.2.1.2

Divide $m$ by $1$ .

$m = \frac{2 c}{p}$