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

The answer to |x^2-24|=-2x is x=-6\lor x=-4

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|x^2-24|=-2x

x^{2} - 24 = - 2 x

x = - 6 or x = - 4

Solution steps

x^{2} - 24 = - 2 x

Find positive and negative intervals

x \leq - 26, - 26 < x < 26, x \geq 26

Solve the inequality for each interval

x = - 6 or x = - 4 or No Solution

x = - 6 or x = - 4

x^{2} - 2 x - 1 = 1

∣ x ∣ = 25.1

4 - 4 ∣ 6 x + 6 ∣ = - 116

∣ y + 4 ∣ - 1 = 4

∣ 2 x + 8 ∣ + 4 = 8

What is the answer to |x^2-24|=-2x ?
The answer to |x^2-24|=-2x is x=-6\lor x=-4
Solve for x: |x^2-24|=-2x
The solution is x=-6\lor x=-4