What is the answer to 2^2+3=|4z+5| ?

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

Solve for z: 2^2+3=|4z+5|

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

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2^{2} + 3 = ∣ 4 z + 5 ∣

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

Decimal Notation

z = - 3, z = 0.5

Solution steps

2^{2} + 3 = ∣ 4 z + 5 ∣

Switch sides

∣ 4 z + 5 ∣ = 2^{2} + 3

Simplify

2^{2} + 3 : 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 z + 5 = - 7 or 4 z + 5 = 7

4 z + 5 = - 7 or 4 z + 5 = 7

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

∣ z + 2 ∣ = 2

- 3 ∣ 8 - x ∣ = - 11

∣ 1 k - 74 ∣ = 21

5 ∣ 2 x - 7 ∣ - 22 = 3

∣ 2 - 4 t ∣ + 2 = 12

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