Algebra Examples

$e = 2 p + 4 s$

Step 1

Rewrite the equation as $2 p + 4 s = e$ .

$2 p + 4 s = e$

Step 2

Subtract $2 p$ from both sides of the equation.

$4 s = e - 2 p$

Step 3

Divide each term in $4 s = e - 2 p$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 s = e - 2 p$ by $4$ .

$\frac{4 s}{4} = \frac{e}{4} + \frac{- 2 p}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 s}{4} = \frac{e}{4} + \frac{- 2 p}{4}$

Step 3.2.1.2

Divide $s$ by $1$ .

$s = \frac{e}{4} + \frac{- 2 p}{4}$

$s = \frac{e}{4} + \frac{- 2 p}{4}$

$s = \frac{e}{4} + \frac{- 2 p}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of $- 2$ and $4$ .

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Step 3.3.1.1.1

Factor $2$ out of $- 2 p$ .

$s = \frac{e}{4} + \frac{2 (- p)}{4}$

Step 3.3.1.1.2

Cancel the common factors.

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Step 3.3.1.1.2.1

Factor $2$ out of $4$ .

$s = \frac{e}{4} + \frac{2 (- p)}{2 (2)}$

Step 3.3.1.1.2.2

Cancel the common factor.

$s = \frac{e}{4} + \frac{2 (- p)}{2 \cdot 2}$

Step 3.3.1.1.2.3

Rewrite the expression.

$s = \frac{e}{4} + \frac{- p}{2}$

$s = \frac{e}{4} + \frac{- p}{2}$

$s = \frac{e}{4} + \frac{- p}{2}$

Step 3.3.1.2

Move the negative in front of the fraction.

$s = \frac{e}{4} - \frac{p}{2}$

$s = \frac{e}{4} - \frac{p}{2}$

$s = \frac{e}{4} - \frac{p}{2}$

$s = \frac{e}{4} - \frac{p}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$