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Simplifying (2x + 4)(5x + 10) = 0 Reorder the terms: (4 + 2x)(5x + 10) = 0 Reorder the terms: (4 + 2x)(10 + 5x) = 0 Multiply (4 + 2x) * (10 + 5x) (4(10 + 5x) + 2x * (10 + 5x)) = 0 ((10 * 4 + 5x * 4) + 2x * (10 + 5x)) = 0 ((40 + 20x) + 2x * (10 + 5x)) = 0 (40 + 20x + (10 * 2x + 5x * 2x)) = 0 (40 + 20x + (20x + 10x2)) = 0 Combine like terms: 20x + 20x = 40x (40 + 40x + 10x2) = 0 Solving 40 + 40x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(4 + 4x + x2) = 0 Factor a trinomial. 10((2 + x)(2 + x)) = 0 Ignore the factor 10.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 '(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 = {-2, -2}
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