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Simplifying 432 = (x + 6) * x Reorder the terms: 432 = (6 + x) * x Reorder the terms for easier multiplication: 432 = x(6 + x) 432 = (6 * x + x * x) 432 = (6x + x2) Solving 432 = 6x + x2 Solving for variable 'x'. Reorder the terms: 432 + -6x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 432 + -6x + -1x2 = 0 + x2 + -1x2 432 + -6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 432 + -6x + -1x2 = 0 Factor a trinomial. (18 + -1x)(24 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 24 + x = 0 Solving 24 + x = 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 + x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x = 0 + -24 x = 0 + -24 Combine like terms: 0 + -24 = -24 x = -24 Simplifying x = -24Solution
x = {18, -24}
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