-2(x+1)(x+3)=0

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Solution for -2(x+1)(x+3)=0 equation:


Simplifying
-2(x + 1)(x + 3) = 0

Reorder the terms:
-2(1 + x)(x + 3) = 0

Reorder the terms:
-2(1 + x)(3 + x) = 0

Multiply (1 + x) * (3 + x)
-2(1(3 + x) + x(3 + x)) = 0
-2((3 * 1 + x * 1) + x(3 + x)) = 0
-2((3 + 1x) + x(3 + x)) = 0
-2(3 + 1x + (3 * x + x * x)) = 0
-2(3 + 1x + (3x + x2)) = 0

Combine like terms: 1x + 3x = 4x
-2(3 + 4x + x2) = 0
(3 * -2 + 4x * -2 + x2 * -2) = 0
(-6 + -8x + -2x2) = 0

Solving
-6 + -8x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(3 + 4x + x2) = 0

Factor a trinomial.
-2((3 + x)(1 + x)) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-3, -1}

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