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Simplifying (5x + 2)(2x + 8) = 0 Reorder the terms: (2 + 5x)(2x + 8) = 0 Reorder the terms: (2 + 5x)(8 + 2x) = 0 Multiply (2 + 5x) * (8 + 2x) (2(8 + 2x) + 5x * (8 + 2x)) = 0 ((8 * 2 + 2x * 2) + 5x * (8 + 2x)) = 0 ((16 + 4x) + 5x * (8 + 2x)) = 0 (16 + 4x + (8 * 5x + 2x * 5x)) = 0 (16 + 4x + (40x + 10x2)) = 0 Combine like terms: 4x + 40x = 44x (16 + 44x + 10x2) = 0 Solving 16 + 44x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 22x + 5x2) = 0 Factor a trinomial. 2((4 + x)(2 + 5x)) = 0 Ignore the factor 2.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 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-4, -0.4}
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