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Simplifying (2x + 12)(2x + 10) = 0 Reorder the terms: (12 + 2x)(2x + 10) = 0 Reorder the terms: (12 + 2x)(10 + 2x) = 0 Multiply (12 + 2x) * (10 + 2x) (12(10 + 2x) + 2x * (10 + 2x)) = 0 ((10 * 12 + 2x * 12) + 2x * (10 + 2x)) = 0 ((120 + 24x) + 2x * (10 + 2x)) = 0 (120 + 24x + (10 * 2x + 2x * 2x)) = 0 (120 + 24x + (20x + 4x2)) = 0 Combine like terms: 24x + 20x = 44x (120 + 44x + 4x2) = 0 Solving 120 + 44x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(30 + 11x + x2) = 0 Factor a trinomial. 4((6 + x)(5 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-6, -5}
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