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

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

Solve for x: |9x+3|=9

The solution is x=-4/3 \lor x= 2/3

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∣ 9 x + 3 ∣ = 9

x = - \frac{4}{3} or x = \frac{2}{3}

Decimal Notation

x = - 1.33333 \dots, x = 0.66666 \dots

Solution steps

∣ 9 x + 3 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x + 3 = - 9 or 9 x + 3 = 9

9 x + 3 = - 9 or 9 x + 3 = 9

x = - \frac{4}{3} or x = \frac{2}{3}

- 5 x^{2} + 45 = 0

(8 + 4 i) (8 - 4 i)

\frac{2 x - 5}{- 8} \leq 1 - x

1 < 1 - \frac{1}{5} x < 3

x^{2} < 4