What is the answer to |9x+2|=1 ?

The answer to |9x+2|=1 is x=-1/3 \lor x=-1/9

Solve for x: |9x+2|=1

The solution is x=-1/3 \lor x=-1/9

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∣ 9 x + 2 ∣ = 1

x = - \frac{1}{3} or x = - \frac{1}{9}

Decimal Notation

x = - 0.33333 \dots, x = - 0.11111 \dots

Solution steps

∣ 9 x + 2 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x + 2 = - 1 or 9 x + 2 = 1

9 x + 2 = - 1 or 9 x + 2 = 1

x = - \frac{1}{3} or x = - \frac{1}{9}

∣ u - 1 ∣ = 1

∣ - 7 g ∣ + 5 = 8

10 = 2 ∣ v ∣

- ∣ 3 (x + 5) (x - 1) ∣ - 1 = - 6

3 ∣ 2 x - 5 ∣ = 12