What is the answer to |6z+5|-16=0 ?

The answer to |6z+5|-16=0 is z=-7/2 \lor z= 11/6

Solve for z: |6z+5|-16=0

The solution is z=-7/2 \lor z= 11/6

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∣ 6 z + 5 ∣ - 16 = 0

z = - \frac{7}{2} or z = \frac{11}{6}

Decimal Notation

z = - 3.5, z = 1.83333 \dots

Solution steps

∣ 6 z + 5 ∣ - 16 = 0

Move

16

to the right side

∣ 6 z + 5 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 z + 5 = - 16 or 6 z + 5 = 16

6 z + 5 = - 16 or 6 z + 5 = 16

z = - \frac{7}{2} or z = \frac{11}{6}

∣ u - 4 ∣ = - \frac{1}{8}

∣ y + 3 ∣ = 4

∣ 2 + 2 y ∣ + 1 = 3

∣ y + 3 ∣ = 0

∣ 3 x - 7 ∣ = 14

What is the answer to |6z+5|-16=0 ?
The answer to |6z+5|-16=0 is z=-7/2 \lor z= 11/6
Solve for z: |6z+5|-16=0
The solution is z=-7/2 \lor z= 11/6