Solve for c 43=|c+30|

$43 = | c + 30 |$

Step 1

Rewrite the equation as $| c + 30 | = 43$ .

$| c + 30 | = 43$

Step 2

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

$c + 30 = \pm 43$

Step 3

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.

$c + 30 = 43$

Move all terms not containing $c$ to the right side of the equation.

Subtract $30$ from both sides of the equation.

$c = 43 - 30$

Subtract $30$ from $43$ .

$c = 13$

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

$c + 30 = - 43$

Move all terms not containing $c$ to the right side of the equation.

Subtract $30$ from both sides of the equation.

$c = - 43 - 30$

Subtract $30$ from $- 43$ .

$c = - 73$

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

$c = 13, - 73$