Algebra Examples

$P = \frac{V^{2}}{R}$

Step 1

Rewrite the equation as $\frac{V^{2}}{R} = P$ .

$\frac{V^{2}}{R} = P$

Step 2

Multiply both sides by $R$ .

$\frac{V^{2}}{R} R = P R$

Step 3

Simplify the left side.

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Step 3.1

Cancel the common factor of $R$ .

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Step 3.1.1

Cancel the common factor.

$\frac{V^{2}}{R} R = P R$

Step 3.1.2

Rewrite the expression.

$V^{2} = P R$

Step 4

Solve for $V$ .

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Step 4.1

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$V = \pm \sqrt{P R}$

Step 4.2

The complete solution is the result of both the positive and negative portions of the solution.

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Step 4.2.1

First, use the positive value of the $\pm$ to find the first solution.

$V = \sqrt{P R}$

Step 4.2.2

Next, use the negative value of the $\pm$ to find the second solution.

$V = - \sqrt{P R}$

Step 4.2.3

The complete solution is the result of both the positive and negative portions of the solution.

$V = \sqrt{P R}$

$V = - \sqrt{P R}$

$V = \sqrt{P R}$

$V = - \sqrt{P R}$

$V = \sqrt{P R}$

$V = - \sqrt{P R}$