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Simplifying 0 = 18x2 + 90x + -432 Reorder the terms: 0 = -432 + 90x + 18x2 Solving 0 = -432 + 90x + 18x2 Solving for variable 'x'. Combine like terms: 0 + 432 = 432 432 + -90x + -18x2 = -432 + 90x + 18x2 + 432 + -90x + -18x2 Reorder the terms: 432 + -90x + -18x2 = -432 + 432 + 90x + -90x + 18x2 + -18x2 Combine like terms: -432 + 432 = 0 432 + -90x + -18x2 = 0 + 90x + -90x + 18x2 + -18x2 432 + -90x + -18x2 = 90x + -90x + 18x2 + -18x2 Combine like terms: 90x + -90x = 0 432 + -90x + -18x2 = 0 + 18x2 + -18x2 432 + -90x + -18x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 432 + -90x + -18x2 = 0 Factor out the Greatest Common Factor (GCF), '18'. 18(24 + -5x + -1x2) = 0 Factor a trinomial. 18((3 + -1x)(8 + x)) = 0 Ignore the factor 18.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {3, -8}
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