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

The answer to 9-2|x+4|=4 is x=-13/2 \lor x=-3/2

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

The solution is x=-13/2 \lor x=-3/2

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9 - 2 ∣ x + 4 ∣ = 4

x = - \frac{13}{2} or x = - \frac{3}{2}

Solution steps

9 - 2 ∣ x + 4 ∣ = 4

Move

9

to the right side

- 2 ∣ x + 4 ∣ = - 5

Divide both sides by

- 2

∣ x + 4 ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 4 = - \frac{5}{2} or x + 4 = \frac{5}{2}

x + 4 = - \frac{5}{2} or x + 4 = \frac{5}{2}

x = - \frac{13}{2} or x = - \frac{3}{2}

6 - x^{2} = ∣ x ∣

- ∣ - 3 s + 2 ∣ = - 18

∣ - 4 n - 3 ∣ = 9

\frac{x}{5} = 4

∣ 9 - 12 x ∣ = 45

What is the answer to 9-2|x+4|=4 ?
The answer to 9-2|x+4|=4 is x=-13/2 \lor x=-3/2
Solve for x: 9-2|x+4|=4
The solution is x=-13/2 \lor x=-3/2