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

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

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

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

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Popular >

z + 6 = ∣ 7 z ∣

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

Decimal Notation

z = - 0.75, z = 1

Solution steps

z + 6 = ∣ 7 z ∣

Find positive and negative intervals

z < 0, z \geq 0

Solve the inequality for each interval

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

0 = ∣ h + 3 ∣

\frac{x}{4} - 5 = 4

∣ x - 3 ∣ = - x

∣ 8 x ∣ = 56

∣ x - 3 ∣ = - 9