What is the answer to |4x+9|+2=7 ?

The answer to |4x+9|+2=7 is x=-7/2 \lor x=-1

Solve for x: |4x+9|+2=7

The solution is x=-7/2 \lor x=-1

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∣ 4 x + 9 ∣ + 2 = 7

x = - \frac{7}{2} or x = - 1

Decimal Notation

x = - 3.5, x = - 1

Solution steps

∣ 4 x + 9 ∣ + 2 = 7

Move

2

to the right side

∣ 4 x + 9 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 9 = - 5 or 4 x + 9 = 5

4 x + 9 = - 5 or 4 x + 9 = 5

x = - \frac{7}{2} or x = - 1

\frac{1}{5} (q + 3) = \frac{1}{2} (q - 3)

((2 t + 1)^{\frac{1}{2}})^{2}

(\frac{1}{9})^{1}

t^{2} + 15 t = - 36

(- 2)^{3}