What is the answer to -|3x+6|+8=2 ?

The answer to -|3x+6|+8=2 is x=-4\lor x=0

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-|3x+6|+8=2

- ∣ 3 x + 6 ∣ + 8 = 2

x = - 4 or x = 0

Solution steps

- ∣ 3 x + 6 ∣ + 8 = 2

Move

8

to the right side

- ∣ 3 x + 6 ∣ = - 6

Divide both sides by

- 1

∣ 3 x + 6 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 6 = - 6 or 3 x + 6 = 6

3 x + 6 = - 6 or 3 x + 6 = 6

x = - 4 or x = 0

(5 - 4)^{2}

18 x^{2} = 24 x

x^{2} + 11 x - 900 = 0

z^{2} - \frac{3}{2} z + \frac{9}{16} = 0

2 (x + 1)^{2} + 6 = 134