Basic Math Examples

$p - \frac{4}{n} = p n$

Step 1

Subtract $p n$ from both sides of the equation.

$p - \frac{4}{n} - p n = 0$

Step 2

Add $\frac{4}{n}$ to both sides of the equation.

$p - p n = \frac{4}{n}$

Step 3

Factor $p$ out of $p - p n$ .

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Step 3.1

Factor $p$ out of $p^{1}$ .

$p \cdot 1 - p n = \frac{4}{n}$

Step 3.2

Factor $p$ out of $- p n$ .

$p \cdot 1 + p (- 1 n) = \frac{4}{n}$

Step 3.3

Factor $p$ out of $p \cdot 1 + p (- 1 n)$ .

$p (1 - 1 n) = \frac{4}{n}$

Step 4

Rewrite $- 1 n$ as $- n$ .

$p (1 - n) = \frac{4}{n}$

Step 5

Divide each term in $p (1 - n) = \frac{4}{n}$ by $1 - n$ and simplify.

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Step 5.1

Divide each term in $p (1 - n) = \frac{4}{n}$ by $1 - n$ .

$\frac{p (1 - n)}{1 - n} = \frac{\frac{4}{n}}{1 - n}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $1 - n$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{p (1 - n)}{1 - n} = \frac{\frac{4}{n}}{1 - n}$

Step 5.2.1.2

Divide $p$ by $1$ .

$p = \frac{\frac{4}{n}}{1 - n}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Multiply the numerator by the reciprocal of the denominator.

$p = \frac{4}{n} \cdot \frac{1}{1 - n}$

Step 5.3.2

Multiply $\frac{4}{n}$ by $\frac{1}{1 - n}$ .

$p = \frac{4}{n (1 - n)}$