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Simplifying (2x + 2)(5x + 5) = 0 Reorder the terms: (2 + 2x)(5x + 5) = 0 Reorder the terms: (2 + 2x)(5 + 5x) = 0 Multiply (2 + 2x) * (5 + 5x) (2(5 + 5x) + 2x * (5 + 5x)) = 0 ((5 * 2 + 5x * 2) + 2x * (5 + 5x)) = 0 ((10 + 10x) + 2x * (5 + 5x)) = 0 (10 + 10x + (5 * 2x + 5x * 2x)) = 0 (10 + 10x + (10x + 10x2)) = 0 Combine like terms: 10x + 10x = 20x (10 + 20x + 10x2) = 0 Solving 10 + 20x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(1 + 2x + x2) = 0 Factor a trinomial. 10((1 + x)(1 + x)) = 0 Ignore the factor 10.Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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