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Simplifying 2x2 = 16x + 96 Reorder the terms: 2x2 = 96 + 16x Solving 2x2 = 96 + 16x Solving for variable 'x'. Reorder the terms: -96 + -16x + 2x2 = 96 + 16x + -96 + -16x Reorder the terms: -96 + -16x + 2x2 = 96 + -96 + 16x + -16x Combine like terms: 96 + -96 = 0 -96 + -16x + 2x2 = 0 + 16x + -16x -96 + -16x + 2x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -96 + -16x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-48 + -8x + x2) = 0 Factor a trinomial. 2((-4 + -1x)(12 + -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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-4, 12}
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