Algebra Examples

$Q = 8 r s^{2}$

Step 1

Rewrite the equation as $8 r s^{2} = Q$ .

$8 r s^{2} = Q$

Step 2

Divide each term in $8 r s^{2} = Q$ by $8 s^{2}$ and simplify.

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Step 2.1

Divide each term in $8 r s^{2} = Q$ by $8 s^{2}$ .

$\frac{8 r s^{2}}{8 s^{2}} = \frac{Q}{8 s^{2}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $8$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{8 r s^{2}}{8 s^{2}} = \frac{Q}{8 s^{2}}$

Step 2.2.1.2

Rewrite the expression.

$\frac{r s^{2}}{s^{2}} = \frac{Q}{8 s^{2}}$

Step 2.2.2

Cancel the common factor of $s^{2}$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{r s^{2}}{s^{2}} = \frac{Q}{8 s^{2}}$

Step 2.2.2.2

Divide $r$ by $1$ .

$r = \frac{Q}{8 s^{2}}$