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

The answer to x^2-6x=2|x-3|+6 is x=-2\lor x=8

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x^2-6x=2|x-3|+6

x^{2} - 6 x = 2 ∣ x - 3 ∣ + 6

x = - 2 or x = 8

Solution steps

x^{2} - 6 x = 2 ∣ x - 3 ∣ + 6

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - 2 or x = 8

2 ∣ x + 8 ∣ = 14 x

- 4 ∣ w - 16 ∣ + 9 = - 39

1 - 6 ∣ 28 - 4 n ∣ = - 95

∣ 5 - 3 x ∣ + 9 = 13 x + 8

x^{2} - 81 = 0

What is the answer to x^2-6x=2|x-3|+6 ?
The answer to x^2-6x=2|x-3|+6 is x=-2\lor x=8
Solve for x: x^2-6x=2|x-3|+6
The solution is x=-2\lor x=8