What is the answer to |4z+5|=|z+2| ?

The answer to |4z+5|=|z+2| is z=-7/5 \lor z=-1

Solve for z: |4z+5|=|z+2|

The solution is z=-7/5 \lor z=-1

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∣ 4 z + 5 ∣ = ∣ z + 2 ∣

z = - \frac{7}{5} or z = - 1

Decimal Notation

z = - 1.4, z = - 1

Solution steps

∣ 4 z + 5 ∣ = ∣ z + 2 ∣

Find positive and negative intervals

z < - 2, - 2 \leq z < - \frac{5}{4}, z \geq - \frac{5}{4}

Solve the inequality for each interval

No Solution or z = - \frac{7}{5} or z = - 1

z = - \frac{7}{5} or z = - 1

- 3 x > \frac{9}{x - 4}

- 10 x = - 7 x + 6

- 4 x + 2 \geq - 5 x + 1

(x + 3)^{2} = 8

4 n + 8

What is the answer to |4z+5|=|z+2| ?
The answer to |4z+5|=|z+2| is z=-7/5 \lor z=-1
Solve for z: |4z+5|=|z+2|
The solution is z=-7/5 \lor z=-1