What is the answer to |3z+1|=-6z ?

The answer to |3z+1|=-6z is z=-1/9

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|3z+1|=-6z

∣ 3 z + 1 ∣ = - 6 z

z = - \frac{1}{9}

Decimal Notation

z = - 0.11111 \dots

Solution steps

∣ 3 z + 1 ∣ = - 6 z

Find positive and negative intervals

z < - \frac{1}{3}, z \geq - \frac{1}{3}

Solve the inequality for each interval

No Solution or z = - \frac{1}{9}

z = - \frac{1}{9}

2 ∣ x - 4 ∣ - 1 = 1

∣ x - 1 ∣ = - 7

∣ 2 x + 3 ∣ = 6

∣ x + 6 ∣ = 1

4 ∣ x ∣ + 3 x = 14