What is the answer to 9+|4x+3|=3^2 ?

The answer to 9+|4x+3|=3^2 is x=-3/4

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9+|4x+3|=3^2

9 + ∣ 4 x + 3 ∣ = 3^{2}

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

9 + ∣ 4 x + 3 ∣ = 3^{2}

3^{2} = 9

9 + ∣ 4 x + 3 ∣ = 9

Move

9

to the right side

∣ 4 x + 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

4 x + 3 = 0

4 x + 3 = 0 : x = - \frac{3}{4}

x = - \frac{3}{4}

6 - ∣ x - 1 ∣ = 4

7 = ∣ v - 6 ∣

2 = ∣ 6 - x ∣

30 = ∣ y - 50 ∣

∣ 7 X + 4 ∣ + 5 = 0