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Simplifying (x)(x + -6) = 432 Reorder the terms: x(-6 + x) = 432 (-6 * x + x * x) = 432 (-6x + x2) = 432 Solving -6x + x2 = 432 Solving for variable 'x'. Reorder the terms: -432 + -6x + x2 = 432 + -432 Combine like terms: 432 + -432 = 0 -432 + -6x + x2 = 0 Factor a trinomial. (-18 + -1x)(24 + -1x) = 0Subproblem 1
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 = -18Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Solution
x = {-18, 24}
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