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

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

Solve for x: 2|2x+3|=3

The solution is x=-9/4 \lor x=-3/4

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2 ∣ 2 x + 3 ∣ = 3

x = - \frac{9}{4} or x = - \frac{3}{4}

Decimal Notation

x = - 2.25, x = - 0.75

Solution steps

2 ∣ 2 x + 3 ∣ = 3

Divide both sides by

2

∣ 2 x + 3 ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{9}{4} or x = - \frac{3}{4}

\frac{- α - 1}{2} = 10

3 ∣ x + 2 ∣ = 9

3 ∣ x + 2 ∣ = 2

3 ∣ x + 2 ∣ = 0

∣ 4 f + 1 ∣ = 7