What is the answer to |x^2+3x|+x=0 ?

The answer to |x^2+3x|+x=0 is x=-4\lor x=-2\lor x=0

Solve for x: |x^2+3x|+x=0

The solution is x=-4\lor x=-2\lor x=0

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

x = - 4 or x = - 2 or x = 0

Solution steps

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

Find positive and negative intervals

x \leq - 3, - 3 < x < 0, x \geq 0

Solve the inequality for each interval

x = - 4 or x = - 2 or x = 0

- 4 ∣ x - 1 ∣ + 9 = 25

x^{2} - 9 = x + 3

\frac{3}{4} x - 1 = 6

x^{2} - 9 x + 8 = 10

∣ x - 2 ∣ = 3 ∣ x - 6 ∣

What is the answer to |x^2+3x|+x=0 ?
The answer to |x^2+3x|+x=0 is x=-4\lor x=-2\lor x=0
Solve for x: |x^2+3x|+x=0
The solution is x=-4\lor x=-2\lor x=0