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

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

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

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

x \leq - 1 or x \geq 0

Solution steps

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

Find positive and negative intervals

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

Solve the inequality for each interval

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

Merge Overlapping Intervals

x \leq - 1 or x \geq 0

∣ x - 1 ∣ - ∣ x - 2 ∣ = 1

x^{3} + 1 + x^{2} - x - 2 = 0

∣ x + 1 ∣ + ∣ x - 1 ∣ = 3

∣ x - 1 ∣ - 2 ∣ x - 2 ∣ + 3 ∣ x - 3 ∣ = 4

∣ 3 x + 5 ∣ + ∣ 4 x + 7 ∣ = 12

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