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Simplifying 4x2 + -12x = 216 Reorder the terms: -12x + 4x2 = 216 Solving -12x + 4x2 = 216 Solving for variable 'x'. Reorder the terms: -216 + -12x + 4x2 = 216 + -216 Combine like terms: 216 + -216 = 0 -216 + -12x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-54 + -3x + x2) = 0 Factor a trinomial. 4((-6 + -1x)(9 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-6, 9}
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