Solve for c |10c|=30

$| 10 c | = 30$

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

$10 c = \pm 30$

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.

$10 c = 30$

Divide each term in $10 c = 30$ by $10$ and simplify.

Divide each term in $10 c = 30$ by $10$ .

$\frac{10 c}{10} = \frac{30}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 c}{10} = \frac{30}{10}$

Divide $c$ by $1$ .

$c = \frac{30}{10}$

Simplify the right side.

Divide $30$ by $10$ .

$c = 3$

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

$10 c = - 30$

Divide each term in $10 c = - 30$ by $10$ and simplify.

Divide each term in $10 c = - 30$ by $10$ .

$\frac{10 c}{10} = \frac{- 30}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 c}{10} = \frac{- 30}{10}$

Divide $c$ by $1$ .

$c = \frac{- 30}{10}$

Simplify the right side.

Divide $- 30$ by $10$ .

$c = - 3$

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

$c = 3, - 3$