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Simplifying 8x2 = 8x + 96 Reorder the terms: 8x2 = 96 + 8x Solving 8x2 = 96 + 8x Solving for variable 'x'. Reorder the terms: -96 + -8x + 8x2 = 96 + 8x + -96 + -8x Reorder the terms: -96 + -8x + 8x2 = 96 + -96 + 8x + -8x Combine like terms: 96 + -96 = 0 -96 + -8x + 8x2 = 0 + 8x + -8x -96 + -8x + 8x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -96 + -8x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-12 + -1x + x2) = 0 Factor a trinomial. 8((-3 + -1x)(4 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 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 = {-3, 4}
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