What is the answer to 6-3|2x+6|=0 ?

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

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6-3|2x+6|=0

6 - 3 ∣ 2 x + 6 ∣ = 0

x = - 4 or x = - 2

Solution steps

6 - 3 ∣ 2 x + 6 ∣ = 0

Move

6

to the right side

- 3 ∣ 2 x + 6 ∣ = - 6

Divide both sides by

- 3

∣ 2 x + 6 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 6 = - 2 or 2 x + 6 = 2

2 x + 6 = - 2 or 2 x + 6 = 2

x = - 4 or x = - 2

6128

x (x - 2) = 48

x^{2} + 1 x + 9 = 0

50 m = 30 + 0.18 m

4 a^{2} b^{2} + 16 ab + 12 a