What is the answer to |4z+16|=2 ?

The answer to |4z+16|=2 is z=-9/2 \lor z=-7/2

Solve for z: |4z+16|=2

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

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∣ 4 z + 16 ∣ = 2

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

Decimal Notation

z = - 4.5, z = - 3.5

Solution steps

∣ 4 z + 16 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 z + 16 = - 2 or 4 z + 16 = 2

4 z + 16 = - 2 or 4 z + 16 = 2

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

8 ∣ - 5 + a ∣ - 2 = 102

∣ x + 2 ∣ = 16

∣ x + 2 ∣ = 11

∣ 1 - 3 t ∣ + 4 = 1

∣ - 5 c + 1 ∣ = 77