What is the answer to |(x+3)|(x+1)+|2x+5|=0 ?

The answer to |(x+3)|(x+1)+|2x+5|=0 is x=-4\lor x=-1-sqrt(3)\lor x=-2

Solve for x: |(x+3)|(x+1)+|2x+5|=0

The solution is x=-4\lor x=-1-sqrt(3)\lor x=-2

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∣ (x + 3) ∣ (x + 1) + ∣ 2 x + 5 ∣ = 0

x = - 4 or x = - 1 - 3 or x = - 2

Decimal Notation

x = - 4, x = - 2.73205 \dots, x = - 2

Solution steps

∣ (x + 3) ∣ (x + 1) + ∣ 2 x + 5 ∣ = 0

Find positive and negative intervals

x < - 3, - 3 \leq x < - \frac{5}{2}, x \geq - \frac{5}{2}

Solve the inequality for each interval

x = - 4 or x = - 1 - 3 or x = - 2

∣ 3 x - 2 ∣ = ∣ x - 3 ∣

∣ x - 1 ∣ = - 3 x

2 \cdot ∣ x - 2 ∣ - 3 \cdot ∣ 2 x + 4 ∣ = 5 - 2 \cdot (1 - 3 x)

∣ 2 x - 1 ∣ = x + 1

x^{2} - 1 + ∣ x ∣ = 2

What is the answer to |(x+3)|(x+1)+|2x+5|=0 ?
The answer to |(x+3)|(x+1)+|2x+5|=0 is x=-4\lor x=-1-sqrt(3)\lor x=-2
Solve for x: |(x+3)|(x+1)+|2x+5|=0
The solution is x=-4\lor x=-1-sqrt(3)\lor x=-2