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

The answer to |4x+4|=9 is x=-13/4 \lor x= 5/4

Solve for x: |4x+4|=9

The solution is x=-13/4 \lor x= 5/4

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∣ 4 x + 4 ∣ = 9

x = - \frac{13}{4} or x = \frac{5}{4}

Solution steps

∣ 4 x + 4 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 4 = - 9 or 4 x + 4 = 9

4 x + 4 = - 9 or 4 x + 4 = 9

x = - \frac{13}{4} or x = \frac{5}{4}

∣ x + 4 ∣ = 70

∣ 4 x + 4 ∣ = 8

- ∣ x ∣ + 9 = - 35

4 ∣ w - 4 ∣ = - 72

6 ∣ a ∣ = 18