Question

solve the equation.
$-4|x| + 4 = -16$
use a comma to separate solutions, as needed. enter each solution as an integer or reduced fraction.
decimal answers will not be accepted. if there is no solution, type dne in the answer box.
$x = \square$
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Explanation:

Step1: Isolate the absolute value term

Subtract 4 from both sides:
$-4|x| + 4 - 4 = -16 - 4$
$-4|x| = -20$

Step2: Solve for $|x|$

Divide both sides by -4:
$\frac{-4|x|}{-4} = \frac{-20}{-4}$
$|x| = 5$

Step3: Solve for $x$

Absolute value equation $|x|=a$ has solutions $x=a$ and $x=-a$:
$x = 5, x = -5$

Answer:

$x = 5, -5$