Solve for c |c/11|=6

$| \frac{c}{11} | = 6$

Step 1

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

$\frac{c}{11} = \pm 6$

Step 2

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.

$\frac{c}{11} = 6$

Multiply both sides of the equation by $11$ .

$11 \frac{c}{11} = 11 \cdot 6$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$11 \frac{c}{11} = 11 \cdot 6$

Rewrite the expression.

$c = 11 \cdot 6$

Simplify the right side.

Multiply $11$ by $6$ .

$c = 66$

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

$\frac{c}{11} = - 6$

Multiply both sides of the equation by $11$ .

$11 \frac{c}{11} = 11 \cdot - 6$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$11 \frac{c}{11} = 11 \cdot - 6$

Rewrite the expression.

$c = 11 \cdot - 6$

Simplify the right side.

Multiply $11$ by $- 6$ .

$c = - 66$

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

$c = 66, - 66$