What is the answer to |4z+3|+5=8 ?

The answer to |4z+3|+5=8 is z=-3/2 \lor z=0

Solve for z: |4z+3|+5=8

The solution is z=-3/2 \lor z=0

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∣ 4 z + 3 ∣ + 5 = 8

z = - \frac{3}{2} or z = 0

Decimal

z = - 1.5, z = 0

Solution steps

∣ 4 z + 3 ∣ + 5 = 8

Move

5

to the right side

∣ 4 z + 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 z + 3 = - 3 or 4 z + 3 = 3

4 z + 3 = - 3 or 4 z + 3 = 3

z = - \frac{3}{2} or z = 0

3 ∣ 2 x + 4 ∣ = 18

3 ∣ x - 2 ∣ + 7 = 0

- 7 = ∣ 7 z ∣

x^{2} - 2 x + 2 + ∣ x - 2 ∣ = 2 ∣ x - 1 ∣

∣ 3 x - 2 ∣ = 14