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

The answer to |x^2-x|=x^2-x is x = 1

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|x^2-x|=x^2-x

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

x \leq 0 or x \geq 1

Solution steps

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

Find positive and negative intervals

x \leq 0, 0 < x < 1, x \geq 1

Solve the inequality for each interval

x \leq 0 or No Solution or x \geq 1

Merge Overlapping Intervals

x \leq 0 or x \geq 1

∣ x ∣ - ∣ x - 2 ∣ = 2

∣ 3 x + 1 ∣ = ∣ 7 x - 3 ∣

∣ x - 3 ∣ + ∣ 7 + x ∣ - ∣ 1 - 3 x ∣ = 15

x^{2} + x = x^{2} + x

∣ x - 1 ∣ - ∣ x - 2 ∣ = 1

What is the answer to |x^2-x|=x^2-x ?
The answer to |x^2-x|=x^2-x is x<= 0\lor x>= 1
Solve for x: |x^2-x|=x^2-x
The solution is x<= 0\lor x>= 1