What is the answer to 3|2z-1|=24 ?

The answer to 3|2z-1|=24 is z=-7/2 \lor z= 9/2

Solve for z: 3|2z-1|=24

The solution is z=-7/2 \lor z= 9/2

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3 ∣ 2 z - 1 ∣ = 24

z = - \frac{7}{2} or z = \frac{9}{2}

Decimal Notation

z = - 3.5, z = 4.5

Solution steps

3 ∣ 2 z - 1 ∣ = 24

Divide both sides by

3

∣ 2 z - 1 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 z - 1 = - 8 or 2 z - 1 = 8

2 z - 1 = - 8 or 2 z - 1 = 8

z = - \frac{7}{2} or z = \frac{9}{2}

∣ 4 x + 3 ∣ - 2 = 5

x^{2} + 1 = 10

- ∣ r ∣ = 18

\frac{8 x - 4}{3} = 6

∣ 2 x - 5 ∣ = 2

What is the answer to 3|2z-1|=24 ?
The answer to 3|2z-1|=24 is z=-7/2 \lor z= 9/2
Solve for z: 3|2z-1|=24
The solution is z=-7/2 \lor z= 9/2