Solve for s 2|s|=18

$2 | s | = 18$

Divide each term in $2 | s | = 18$ by $2$ and simplify.

Divide each term in $2 | s | = 18$ by $2$ .

$\frac{2 | s |}{2} = \frac{18}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 | s |}{2} = \frac{18}{2}$

Divide $| s |$ by $1$ .

$| s | = \frac{18}{2}$

Simplify the right side.

Divide $18$ by $2$ .

$| s | = 9$

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

$s = \pm 9$

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.

$s = 9$

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

$s = - 9$

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

$s = 9, - 9$