What is the answer to 5|2Z+7|=20 ?

The answer to 5|2Z+7|=20 is Z=-11/2 \lor Z=-3/2

Solve for Z: 5|2Z+7|=20

The solution is Z=-11/2 \lor Z=-3/2

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5 ∣ 2 Z + 7 ∣ = 20

Z = - \frac{11}{2} or Z = - \frac{3}{2}

Decimal Notation

Z = - 5.5, Z = - 1.5

Solution steps

5 ∣ 2 Z + 7 ∣ = 20

Divide both sides by

5

∣ 2 Z + 7 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 Z + 7 = - 4 or 2 Z + 7 = 4

2 Z + 7 = - 4 or 2 Z + 7 = 4

Z = - \frac{11}{2} or Z = - \frac{3}{2}

∣ 4 u + 10 ∣ = 2

\frac{y}{4} = 8

- 5 ∣ h ∣ = - 10

∣ - 4 x + 9 ∣ = 6 x + 13

16 = 4 ∣ x - 6 ∣

What is the answer to 5|2Z+7|=20 ?
The answer to 5|2Z+7|=20 is Z=-11/2 \lor Z=-3/2
Solve for Z: 5|2Z+7|=20
The solution is Z=-11/2 \lor Z=-3/2