What is the answer to 3|4z-1|-5=10 ?

The answer to 3|4z-1|-5=10 is z=-1\lor z= 3/2

Solve for z: 3|4z-1|-5=10

The solution is z=-1\lor z= 3/2

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3 ∣ 4 z - 1 ∣ - 5 = 10

z = - 1 or z = \frac{3}{2}

Decimal Notation

z = - 1, z = 1.5

Solution steps

3 ∣ 4 z - 1 ∣ - 5 = 10

Move

5

to the right side

3 ∣ 4 z - 1 ∣ = 15

Divide both sides by

3

∣ 4 z - 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 z - 1 = - 5 or 4 z - 1 = 5

4 z - 1 = - 5 or 4 z - 1 = 5

z = - 1 or z = \frac{3}{2}

∣ - x ∣ = - x

x^{2} - 4 x - 18 = 3

∣ - x ∣ = - 3

57 = ∣ b - 8 ∣

∣ 7 + 5 x ∣ = 8

What is the answer to 3|4z-1|-5=10 ?
The answer to 3|4z-1|-5=10 is z=-1\lor z= 3/2
Solve for z: 3|4z-1|-5=10
The solution is z=-1\lor z= 3/2