What is the answer to 3|3n+9|=9 ?

The answer to 3|3n+9|=9 is n=-4\lor n=-2

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3|3n+9|=9

3 ∣ 3 n + 9 ∣ = 9

n = - 4 or n = - 2

Solution steps

3 ∣ 3 n + 9 ∣ = 9

Divide both sides by

3

∣ 3 n + 9 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 n + 9 = - 3 or 3 n + 9 = 3

3 n + 9 = - 3 or 3 n + 9 = 3

n = - 4 or n = - 2

∣ u ∣ - 19 = - 14

9 - ∣ 6 x ∣ = 5

4 ∣ x + 5 ∣ = 28

x^{2} - 8 = 4

2 ∣ 4 x - 3 ∣ - 8 = - 3