Solve for c 25=|5c|

$25 = | 5 c |$

Rewrite the equation as $| 5 c | = 25$ .

$| 5 c | = 25$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$5 c = \pm 25$

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

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

$5 c = 25$

Divide each term in $5 c = 25$ by $5$ and simplify.

Divide each term in $5 c = 25$ by $5$ .

$\frac{5 c}{5} = \frac{25}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 c}{5} = \frac{25}{5}$

Divide $c$ by $1$ .

$c = \frac{25}{5}$

Simplify the right side.

Divide $25$ by $5$ .

$c = 5$

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

$5 c = - 25$

Divide each term in $5 c = - 25$ by $5$ and simplify.

Divide each term in $5 c = - 25$ by $5$ .

$\frac{5 c}{5} = \frac{- 25}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 c}{5} = \frac{- 25}{5}$

Divide $c$ by $1$ .

$c = \frac{- 25}{5}$

Simplify the right side.

Divide $- 25$ by $5$ .

$c = - 5$

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

$c = 5, - 5$