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Simplifying (3x + 3)(2x + 4) = 0 Reorder the terms: (3 + 3x)(2x + 4) = 0 Reorder the terms: (3 + 3x)(4 + 2x) = 0 Multiply (3 + 3x) * (4 + 2x) (3(4 + 2x) + 3x * (4 + 2x)) = 0 ((4 * 3 + 2x * 3) + 3x * (4 + 2x)) = 0 ((12 + 6x) + 3x * (4 + 2x)) = 0 (12 + 6x + (4 * 3x + 2x * 3x)) = 0 (12 + 6x + (12x + 6x2)) = 0 Combine like terms: 6x + 12x = 18x (12 + 18x + 6x2) = 0 Solving 12 + 18x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(2 + 3x + x2) = 0 Factor a trinomial. 6((2 + x)(1 + x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 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 = {-2, -1}
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