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Popular >

|x-1||x+5|=7

Solution

∣ x - 1 ∣ ∣ x + 5 ∣ = 7

Solution

x = - 6 or x = - 2 - 2 or x = - 2 + 2 or x = 2

+1

Decimal Notation

x = - 6, x = - 3.41421 \dots, x = - 0.58578 \dots, x = 2

Solution steps

∣ x - 1 ∣ ∣ x + 5 ∣ = 7

Find positive and negative intervals

x < - 5, - 5 \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - 6 or (x = - 2 - 2 or x = - 2 + 2) or x = 2

x = - 6 or x = - 2 - 2 or x = - 2 + 2 or x = 2

Popular Examples

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x^{2} + 6 x + 6 = x^{2} + 4 x + 9 + ∣ 2 x - 3 ∣

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|x|-2|x+1|+3|x+2|=0

∣ x ∣ - 2 ∣ x + 1 ∣ + 3 ∣ x + 2 ∣ = 0

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

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

Frequently Asked Questions (FAQ)

What is the answer to |x-1||x+5|=7 ?
The answer to |x-1||x+5|=7 is x=-6\lor x=-2-sqrt(2)\lor x=-2+sqrt(2)\lor x=2
Solve for x: |x-1||x+5|=7
The solution is x=-6\lor x=-2-sqrt(2)\lor x=-2+sqrt(2)\lor x=2