What is the answer to -5|3z+8|-5=-20 ?

The answer to -5|3z+8|-5=-20 is z=-11/3 \lor z=-5/3

Solve for z: -5|3z+8|-5=-20

The solution is z=-11/3 \lor z=-5/3

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- 5 ∣ 3 z + 8 ∣ - 5 = - 20

z = - \frac{11}{3} or z = - \frac{5}{3}

Decimal Notation

z = - 3.66666 \dots, z = - 1.66666 \dots

Solution steps

- 5 ∣ 3 z + 8 ∣ - 5 = - 20

Move

5

to the right side

- 5 ∣ 3 z + 8 ∣ = - 15

Divide both sides by

- 5

∣ 3 z + 8 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 z + 8 = - 3 or 3 z + 8 = 3

3 z + 8 = - 3 or 3 z + 8 = 3

z = - \frac{11}{3} or z = - \frac{5}{3}

1 = ∣ - 6 + 5 b ∣

5 ∣ 2 r + 3 ∣ - 5 = 0

∣ 4 t - 8 ∣ = 20

∣ z - 13 ∣ = 21

3 = ∣ 2 k + 7 ∣

What is the answer to -5|3z+8|-5=-20 ?
The answer to -5|3z+8|-5=-20 is z=-11/3 \lor z=-5/3
Solve for z: -5|3z+8|-5=-20
The solution is z=-11/3 \lor z=-5/3