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Simplifying x2 + -20x + 100 = 169 Reorder the terms: 100 + -20x + x2 = 169 Solving 100 + -20x + x2 = 169 Solving for variable 'x'. Reorder the terms: 100 + -169 + -20x + x2 = 169 + -169 Combine like terms: 100 + -169 = -69 -69 + -20x + x2 = 169 + -169 Combine like terms: 169 + -169 = 0 -69 + -20x + x2 = 0 Factor a trinomial. (-3 + -1x)(23 + -1x) = 0Subproblem 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 '(23 + -1x)' equal to zero and attempt to solve: Simplifying 23 + -1x = 0 Solving 23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23Solution
x = {-3, 23}
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