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

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

Solve for x: |x^2-3x|=|x|

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

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x^{2} - 3 x = ∣ x ∣

x = 0 or x = 2 or x = 4

Solution steps

x^{2} - 3 x = ∣ x ∣

Find positive and negative intervals

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

Solve the inequality for each interval

x = 0 or x = 2 or x = 4

∣ x + 3 ∣ = 71

21 = ∣ x ∣

∣ x ∣ - 3 = - 1

- 2 ∣ 7 - 6 x ∣ + 8 = 6

- 10 ∣ 2 + 6 x ∣ - 6 = - 86

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