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Simplifying 3x2 + -96 = 12x Reorder the terms: -96 + 3x2 = 12x Solving -96 + 3x2 = 12x Solving for variable 'x'. Reorder the terms: -96 + -12x + 3x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -96 + -12x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-32 + -4x + x2) = 0 Factor a trinomial. 3((-4 + -1x)(8 + -1x)) = 0 Ignore the factor 3.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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-4, 8}
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