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Simplifying (2x + 8)(5x + 10) = 0 Reorder the terms: (8 + 2x)(5x + 10) = 0 Reorder the terms: (8 + 2x)(10 + 5x) = 0 Multiply (8 + 2x) * (10 + 5x) (8(10 + 5x) + 2x * (10 + 5x)) = 0 ((10 * 8 + 5x * 8) + 2x * (10 + 5x)) = 0 ((80 + 40x) + 2x * (10 + 5x)) = 0 (80 + 40x + (10 * 2x + 5x * 2x)) = 0 (80 + 40x + (20x + 10x2)) = 0 Combine like terms: 40x + 20x = 60x (80 + 60x + 10x2) = 0 Solving 80 + 60x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(8 + 6x + x2) = 0 Factor a trinomial. 10((4 + x)(2 + x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
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 = -2Solution
x = {-4, -2}
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