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Simplifying (4x + 4)(2x + 6) = 0 Reorder the terms: (4 + 4x)(2x + 6) = 0 Reorder the terms: (4 + 4x)(6 + 2x) = 0 Multiply (4 + 4x) * (6 + 2x) (4(6 + 2x) + 4x * (6 + 2x)) = 0 ((6 * 4 + 2x * 4) + 4x * (6 + 2x)) = 0 ((24 + 8x) + 4x * (6 + 2x)) = 0 (24 + 8x + (6 * 4x + 2x * 4x)) = 0 (24 + 8x + (24x + 8x2)) = 0 Combine like terms: 8x + 24x = 32x (24 + 32x + 8x2) = 0 Solving 24 + 32x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(3 + 4x + x2) = 0 Factor a trinomial. 8((3 + x)(1 + x)) = 0 Ignore the factor 8.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 = -3Subproblem 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 = -1Solution
x = {-3, -1}
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