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Simplifying 0 = x2 + -26x + 144 Reorder the terms: 0 = 144 + -26x + x2 Solving 0 = 144 + -26x + x2 Solving for variable 'x'. Combine like terms: 0 + -144 = -144 -144 + 26x + -1x2 = 144 + -26x + x2 + -144 + 26x + -1x2 Reorder the terms: -144 + 26x + -1x2 = 144 + -144 + -26x + 26x + x2 + -1x2 Combine like terms: 144 + -144 = 0 -144 + 26x + -1x2 = 0 + -26x + 26x + x2 + -1x2 -144 + 26x + -1x2 = -26x + 26x + x2 + -1x2 Combine like terms: -26x + 26x = 0 -144 + 26x + -1x2 = 0 + x2 + -1x2 -144 + 26x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -144 + 26x + -1x2 = 0 Factor a trinomial. (-18 + x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {18, 8}
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