What is the answer to |x+4|^2-10|x+4|=24 ?

The answer to |x+4|^2-10|x+4|=24 is x=-16\lor x=8

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|x+4|^2-10|x+4|=24

∣ x + 4 ∣^{2} - 10 ∣ x + 4 ∣ = 24

x = - 16 or x = 8

Solution steps

∣ x + 4 ∣^{2} - 10 ∣ x + 4 ∣ = 24

Find positive and negative intervals

x < - 4, x \geq - 4

Solve the inequality for each interval

x = - 16 or x = 8

2 x^{2} + 11 x + 14 = 0

16 - 8

\frac{x}{8} = \frac{10}{4}

11 - 2 x^{2} = 5

5 (6) + 7 (0) = - 3

What is the answer to |x+4|^2-10|x+4|=24 ?
The answer to |x+4|^2-10|x+4|=24 is x=-16\lor x=8
Solve for x: |x+4|^2-10|x+4|=24
The solution is x=-16\lor x=8