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Simplifying 5x + -9 = x2 + -18x + 81 Reorder the terms: -9 + 5x = x2 + -18x + 81 Reorder the terms: -9 + 5x = 81 + -18x + x2 Solving -9 + 5x = 81 + -18x + x2 Solving for variable 'x'. Reorder the terms: -9 + -81 + 5x + 18x + -1x2 = 81 + -18x + x2 + -81 + 18x + -1x2 Combine like terms: -9 + -81 = -90 -90 + 5x + 18x + -1x2 = 81 + -18x + x2 + -81 + 18x + -1x2 Combine like terms: 5x + 18x = 23x -90 + 23x + -1x2 = 81 + -18x + x2 + -81 + 18x + -1x2 Reorder the terms: -90 + 23x + -1x2 = 81 + -81 + -18x + 18x + x2 + -1x2 Combine like terms: 81 + -81 = 0 -90 + 23x + -1x2 = 0 + -18x + 18x + x2 + -1x2 -90 + 23x + -1x2 = -18x + 18x + x2 + -1x2 Combine like terms: -18x + 18x = 0 -90 + 23x + -1x2 = 0 + x2 + -1x2 -90 + 23x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -90 + 23x + -1x2 = 0 Factor a trinomial. (-18 + x)(5 + -1x) = 0Subproblem 1
Set the factor '(-18 + x)' equal to zero and attempt to solve: Simplifying -18 + x = 0 Solving -18 + x = 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 + x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x = 0 + 18 x = 0 + 18 Combine like terms: 0 + 18 = 18 x = 18 Simplifying x = 18Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {18, 5}
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