What is the answer to |7z|=z+6 ?

The answer to |7z|=z+6 is z=-3/4 \lor z=1

Solve for z: |7z|=z+6

The solution is z=-3/4 \lor z=1

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∣ 7 z ∣ = z + 6

z = - \frac{3}{4} or z = 1

Decimal Notation

z = - 0.75, z = 1

Solution steps

∣ 7 z ∣ = z + 6

Find positive and negative intervals

z < 0, z \geq 0

Solve the inequality for each interval

z = - \frac{3}{4} or z = 1

- 15 + ∣ - 3 + 2 x ∣ = 18

∣ q - 7 ∣ = 2

2 x + 3 = - 7

- 7 - 8 ∣ 8 x - 3 ∣ = 57

\frac{∣ x + 9 ∣}{4} = 4