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Simplifying x2 + -20x + -18 = 26 Reorder the terms: -18 + -20x + x2 = 26 Solving -18 + -20x + x2 = 26 Solving for variable 'x'. Reorder the terms: -18 + -26 + -20x + x2 = 26 + -26 Combine like terms: -18 + -26 = -44 -44 + -20x + x2 = 26 + -26 Combine like terms: 26 + -26 = 0 -44 + -20x + x2 = 0 Factor a trinomial. (-2 + -1x)(22 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22Solution
x = {-2, 22}
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