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Simplifying 2(x + -2)(x + -4) = 0 Reorder the terms: 2(-2 + x)(x + -4) = 0 Reorder the terms: 2(-2 + x)(-4 + x) = 0 Multiply (-2 + x) * (-4 + x) 2(-2(-4 + x) + x(-4 + x)) = 0 2((-4 * -2 + x * -2) + x(-4 + x)) = 0 2((8 + -2x) + x(-4 + x)) = 0 2(8 + -2x + (-4 * x + x * x)) = 0 2(8 + -2x + (-4x + x2)) = 0 Combine like terms: -2x + -4x = -6x 2(8 + -6x + x2) = 0 (8 * 2 + -6x * 2 + x2 * 2) = 0 (16 + -12x + 2x2) = 0 Solving 16 + -12x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -6x + x2) = 0 Factor a trinomial. 2((2 + -1x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = 2Subproblem 2
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 = 4Solution
x = {2, 4}
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