What is the answer to |x^2+5x|=x^2+5x ?

The answer to |x^2+5x|=x^2+5x is x = 0

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|x^2+5x|=x^2+5x

x^{2} + 5 x = x^{2} + 5 x

x \leq - 5 or x \geq 0

Solution steps

x^{2} + 5 x = x^{2} + 5 x

Find positive and negative intervals

x \leq - 5, - 5 < x < 0, x \geq 0

Solve the inequality for each interval

x \leq - 5 or No Solution or x \geq 0

Merge Overlapping Intervals

x \leq - 5 or x \geq 0

∣ 6 x - 8 ∣ = 34

7 ∣ 2 x - 1 ∣ = 5

8 = ∣ 4 y ∣ - 8

∣ 6 x - 8 ∣ = 2 x

41 ∣ 4 x + 7 ∣ = 8 x + 16

What is the answer to |x^2+5x|=x^2+5x ?
The answer to |x^2+5x|=x^2+5x is x<=-5\lor x>= 0
Solve for x: |x^2+5x|=x^2+5x
The solution is x<=-5\lor x>= 0