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

The answer to |x|=x^2-2x is x=0\lor x=3

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|x|=x^2-2x

∣ x ∣ = x^{2} - 2 x

x = 0 or x = 3

Solution steps

∣ x ∣ = x^{2} - 2 x

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or (x = 0 or x = 3)

x = 0 or x = 3

3 ∣ 3 x + 6 ∣ + 8 = 80

∣ 3 x - 9 ∣ = 4

∣ x + 3 ∣ + 1 = 7

0 = ∣ 3 x - 2 ∣

∣ m + 2 ∣ + 7 = 13