What is the answer to |2z+7|=|z+6| ?

The answer to |2z+7|=|z+6| is z=-13/3 \lor z=-1

Solve for z: |2z+7|=|z+6|

The solution is z=-13/3 \lor z=-1

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∣ 2 z + 7 ∣ = ∣ z + 6 ∣

z = - \frac{13}{3} or z = - 1

Decimal Notation

z = - 4.33333 \dots, z = - 1

Solution steps

∣ 2 z + 7 ∣ = ∣ z + 6 ∣

Find positive and negative intervals

z < - 6, - 6 \leq z < - \frac{7}{2}, z \geq - \frac{7}{2}

Solve the inequality for each interval

No Solution or z = - \frac{13}{3} or z = - 1

z = - \frac{13}{3} or z = - 1

∣ y ∣ - 2 \leq 0

\frac{5}{6} k - 5 = 10

0 = 2 x^{2} - 1

- 3 < p + 30 < 15

11 x^{2} - 7 x - 4

What is the answer to |2z+7|=|z+6| ?
The answer to |2z+7|=|z+6| is z=-13/3 \lor z=-1
Solve for z: |2z+7|=|z+6|
The solution is z=-13/3 \lor z=-1