Question

solve the equation: $|4x + 4| = 12$
the solutions are:
question help: video(https://example.com)

Explanation:

Step1: Split into two cases

Case 1: $4x + 4=12$; Case 2: $4x + 4=-12$.

Step2: Solve Case 1

Subtract 4 from both sides: $4x=12 - 4$, so $4x = 8$. Then divide by 4, $x=\frac{8}{4}=2$.

Step3: Solve Case 2

Subtract 4 from both sides: $4x=-12 - 4$, so $4x=-16$. Then divide by 4, $x=\frac{-16}{4}=-4$.

Answer:

$x = 2$ or $x=-4$