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Simplifying 2(x(x + 4) + (-2(x + 4))) = 0 Reorder the terms: 2(x(4 + x) + (-2(x + 4))) = 0 2((4 * x + x * x) + (-2(x + 4))) = 0 2((4x + x2) + (-2(x + 4))) = 0 Reorder the terms: 2(4x + x2 + (-2(4 + x))) = 0 2(4x + x2 + ((4 * -2 + x * -2))) = 0 2(4x + x2 + ((-8 + -2x))) = 0 2(4x + x2 + (-8 + -2x)) = 0 Remove parenthesis around (-8 + -2x) 2(4x + x2 + -8 + -2x) = 0 Reorder the terms: 2(-8 + 4x + -2x + x2) = 0 Combine like terms: 4x + -2x = 2x 2(-8 + 2x + x2) = 0 (-8 * 2 + 2x * 2 + x2 * 2) = 0 (-16 + 4x + 2x2) = 0 Solving -16 + 4x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 2x + x2) = 0 Factor a trinomial. 2((-4 + -1x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-4, 2}
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