What is the answer to |x^2+4x+3|=x+1 ?

The answer to |x^2+4x+3|=x+1 is x=-1

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|x^2+4x+3|=x+1

x^{2} + 4 x + 3 = x + 1

x = - 1

Solution steps

x^{2} + 4 x + 3 = x + 1

Find positive and negative intervals

x \leq - 3, - 3 < x < - 1, x \geq - 1

Solve the inequality for each interval

No Solution or x = - 1

x = - 1

∣ x - 3 ∣ + x = 7

∣ x - 4 ∣ + ∣ 2 x + 1 ∣ - ∣ 3 x ∣ = 3

x^{2} - x - 12 = x + 12 - x^{2}

∣ 6 x + 9 ∣ = ∣ 3 x - 7 ∣

∣ 3 x - 4 ∣ = ∣ x ∣