What is the answer to -10=|8z|-16 ?

The answer to -10=|8z|-16 is z=-3/4 \lor z= 3/4

Solve for z: -10=|8z|-16

The solution is z=-3/4 \lor z= 3/4

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- 10 = ∣ 8 z ∣ - 16

z = - \frac{3}{4} or z = \frac{3}{4}

Solution steps

- 10 = ∣ 8 z ∣ - 16

Switch sides

∣ 8 z ∣ - 16 = - 10

Move

16

to the right side

∣ 8 z ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 z = - 6 or 8 z = 6

8 z = - 6 or 8 z = 6

z = - \frac{3}{4} or z = \frac{3}{4}

∣ x ∣ + 15 = 7

2 ∣ x + 6 ∣ + 17 = 3

∣ 5 d - 8 ∣ = 28

0 = - 9 ∣ r ∣

∣ 3 x - 1 ∣ - 9 = 4

What is the answer to -10=|8z|-16 ?
The answer to -10=|8z|-16 is z=-3/4 \lor z= 3/4
Solve for z: -10=|8z|-16
The solution is z=-3/4 \lor z= 3/4