What is the answer to |3x-6|+x^2-2x=30 ?

The answer to |3x-6|+x^2-2x=30 is x=-3\lor x=(-1+sqrt(145))/2

Solve for x: |3x-6|+x^2-2x=30

The solution is x=-3\lor x=(-1+sqrt(145))/2

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∣ 3 x - 6 ∣ + x^{2} - 2 x = 30

x = - 3 or x = \frac{- 1 + 145}{2}

Solution steps

∣ 3 x - 6 ∣ + x^{2} - 2 x = 30

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = - 3 or x = \frac{- 1 + 145}{2}

- ∣ b ∣ = - 1

15 = ∣ p ∣ + 3

∣ - 8 w ∣ = 0

\frac{1}{2} x - 4 = 3

\frac{1}{2} x - 4 = 5

What is the answer to |3x-6|+x^2-2x=30 ?
The answer to |3x-6|+x^2-2x=30 is x=-3\lor x=(-1+sqrt(145))/2
Solve for x: |3x-6|+x^2-2x=30
The solution is x=-3\lor x=(-1+sqrt(145))/2