What is the answer to |x^2-3x|=4x ?

The answer to |x^2-3x|=4x is x=0\lor x=7

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|x^2-3x|=4x

x^{2} - 3 x = 4 x

x = 0 or x = 7

Solution steps

x^{2} - 3 x = 4 x

Find positive and negative intervals

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

Solve the inequality for each interval

x = 0 or No Solution or x = 7

x = 0 or x = 7

∣ 5 x + 1 ∣ = - 4

∣ 18 + 4 x ∣ = 2

\frac{2}{3} - 4 ∣ 2 - x ∣ = - 1

∣ 4 - 5 x ∣ = ∣ 3 x + 2 ∣

3 \cdot ∣ x - 1 ∣ - 2 = 0