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Simplifying 4x2 + -48x = 432 Reorder the terms: -48x + 4x2 = 432 Solving -48x + 4x2 = 432 Solving for variable 'x'. Reorder the terms: -432 + -48x + 4x2 = 432 + -432 Combine like terms: 432 + -432 = 0 -432 + -48x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-108 + -12x + x2) = 0 Factor a trinomial. 4((-6 + -1x)(18 + -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 '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-6, 18}
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