What is the answer to -2|2x+3|=-6 ?

The answer to -2|2x+3|=-6 is x=-3\lor x=0

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-2|2x+3|=-6

- 2 ∣ 2 x + 3 ∣ = - 6

x = - 3 or x = 0

Solution steps

- 2 ∣ 2 x + 3 ∣ = - 6

Divide both sides by

- 2

∣ 2 x + 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 3 = - 3 or 2 x + 3 = 3

2 x + 3 = - 3 or 2 x + 3 = 3

x = - 3 or x = 0

6 x^{2} - 2 x - 1 = 0

3 x + 4 = 13

- 7 + N = 20

- 10 + 2 d = 8

\frac{c - 5}{4} = 3