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

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

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|x^2+3x+2|=2

x^{2} + 3 x + 2 = 2

x = - 3 or x = 0

Solution steps

x^{2} + 3 x + 2 = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} + 3 x + 2 = - 2 or x^{2} + 3 x + 2 = 2

x^{2} + 3 x + 2 = - 2 or x^{2} + 3 x + 2 = 2

No Solution or (x = - 3 or x = 0)

x = - 3 or x = 0

∣ 4 a + 2 ∣ = 6

\frac{1}{4} ∣ x - 2 ∣ = 2 x + 3

∣ 5 x - 2 ∣ = 6

x^{2} - 4 x - 8 = 4

∣ 3 x + 12 ∣ = 9 x