What is the answer to 3|x+2|-9=3 ?

The answer to 3|x+2|-9=3 is x=-6\lor x=2

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3|x+2|-9=3

3 ∣ x + 2 ∣ - 9 = 3

x = - 6 or x = 2

Solution steps

3 ∣ x + 2 ∣ - 9 = 3

Move

9

to the right side

3 ∣ x + 2 ∣ = 12

Divide both sides by

3

∣ x + 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - 4 or x + 2 = 4

x + 2 = - 4 or x + 2 = 4

x = - 6 or x = 2

6 m^{2} + 16 m

11 x - 32 = 22 x + 34

3 x^{2} - 8 x + 1 = 0

a^{4} + 5 a^{2}