What is the answer to 1/4-2|x+2|=0 ?

The answer to 1/4-2|x+2|=0 is x=-17/8 \lor x=-15/8

Solve for x: 1/4-2|x+2|=0

The solution is x=-17/8 \lor x=-15/8

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\frac{1}{4} - 2 ∣ x + 2 ∣ = 0

x = - \frac{17}{8} or x = - \frac{15}{8}

Decimal

x = - 2.125, x = - 1.875

Solution steps

\frac{1}{4} - 2 ∣ x + 2 ∣ = 0

Move

\frac{1}{4}

to the right side

- 2 ∣ x + 2 ∣ = - \frac{1}{4}

Divide both sides by

- 2

∣ x + 2 ∣ = \frac{1}{8}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 2 = - \frac{1}{8} or x + 2 = \frac{1}{8}

x + 2 = - \frac{1}{8} or x + 2 = \frac{1}{8}

x = - \frac{17}{8} or x = - \frac{15}{8}

x^{2} + 7 x + 14 = 4

∣ 2 x - 1 ∣ + x = 8

- 2 ∣ 7 - 3 x ∣ - 6 = - 14

x^{2} + 5 x = ∣ 4 - x ∣

- 3 ∣ y - 4 ∣ = 6

What is the answer to 1/4-2|x+2|=0 ?
The answer to 1/4-2|x+2|=0 is x=-17/8 \lor x=-15/8
Solve for x: 1/4-2|x+2|=0
The solution is x=-17/8 \lor x=-15/8