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

The answer to |3x+2|+3x+2=0 is x<=-2/3

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|3x+2|+3x+2=0

∣ 3 x + 2 ∣ + 3 x + 2 = 0

x \leq - \frac{2}{3}

Solution steps

∣ 3 x + 2 ∣ + 3 x + 2 = 0

Find positive and negative intervals

x < - \frac{2}{3}, x \geq - \frac{2}{3}

Solve the inequality for each interval

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

Merge Overlapping Intervals

x \leq - \frac{2}{3}

3 t + \frac{2 ( t - 1 )}{3} = 4

(x - 9)^{2} = 4

21 n + 9 n = - 23 - 157

3 < x \leq 5

4 m - 15 p - 5 m p + 12