What is the answer to |x^2-3|x|+2|=x^2-2x ?

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

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|x^2-3|x|+2|=x^2-2x

x^{2} - 3 x ∣ + 2 ∣ = x^{2} - 2 x

x = 0

Solution steps

x^{2} - 3 x ∣ 2 ∣ = x^{2} - 2 x

Find positive and negative intervals

x \leq - 3, - 3 < x < 3, x \geq 3

Solve the inequality for each interval

No Solution or x = 0

x = 0

x^{2} - 4 x + 3 = - x^{2} - 5 x + 4

∣ x + 2 ∣ + ∣ 2 x + 1 ∣ - 3 ∣ x - 1 ∣ = 6

∣ x + 4 ∣ - ∣ x ∣ = 4

x^{2} - 9 = ∣ 3 - 4 x ∣ + 9

∣ x - 1 ∣ = ∣ 2 x - 1 ∣

What is the answer to |x^2-3|x|+2|=x^2-2x ?
The answer to |x^2-3|x|+2|=x^2-2x is x=0
Solve for x: |x^2-3|x|+2|=x^2-2x
The solution is x=0