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Simplifying 26 = x2 + -18x + 107 Reorder the terms: 26 = 107 + -18x + x2 Solving 26 = 107 + -18x + x2 Solving for variable 'x'. Combine like terms: 26 + -107 = -81 -81 + 18x + -1x2 = 107 + -18x + x2 + -107 + 18x + -1x2 Reorder the terms: -81 + 18x + -1x2 = 107 + -107 + -18x + 18x + x2 + -1x2 Combine like terms: 107 + -107 = 0 -81 + 18x + -1x2 = 0 + -18x + 18x + x2 + -1x2 -81 + 18x + -1x2 = -18x + 18x + x2 + -1x2 Combine like terms: -18x + 18x = 0 -81 + 18x + -1x2 = 0 + x2 + -1x2 -81 + 18x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -81 + 18x + -1x2 = 0 Factor a trinomial. (-9 + x)(9 + -1x) = 0Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {9, 9}
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