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

The answer to x^2+|x^2-x|=x is 0<= x<= 1

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

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

0 \leq x \leq 1

Solution steps

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

Find positive and negative intervals

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

Solve the inequality for each interval

x = 0 or 0 < x < 1 or x = 1

Merge Overlapping Intervals

0 \leq x \leq 1

3 ∣ x - 8 ∣ = 0

4 = ∣ d ∣ + 4

∣ x ∣ = x^{2} + x - 8

∣ 5 m + 8 ∣ = 27

9 - ∣ 3 x ∣ = 7