Question

solve for w.
\vert 2w + 5 \vert - 36 = -15
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.

Explanation:

Step1: Isolate the absolute value

Add 36 to both sides.
$$|2w + 5| - 36 + 36 = -15 + 36$$
$$|2w + 5| = 21$$

Step2: Split into two linear equations

Absolute value equals positive/negative 21.
$$2w + 5 = 21 \quad \text{or} \quad 2w + 5 = -21$$

Step3: Solve first linear equation

Subtract 5, then divide by 2.
$$2w = 21 - 5$$
$$2w = 16$$
$$w = \frac{16}{2} = 8$$

Step4: Solve second linear equation

Subtract 5, then divide by 2.
$$2w = -21 - 5$$
$$2w = -26$$
$$w = \frac{-26}{2} = -13$$

Answer:

$8, -13$