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Simplifying x2 + -4x + 4 + x2 + -18x + 81 = x2 Reorder the terms: 4 + 81 + -4x + -18x + x2 + x2 = x2 Combine like terms: 4 + 81 = 85 85 + -4x + -18x + x2 + x2 = x2 Combine like terms: -4x + -18x = -22x 85 + -22x + x2 + x2 = x2 Combine like terms: x2 + x2 = 2x2 85 + -22x + 2x2 = x2 Solving 85 + -22x + 2x2 = x2 Solving for variable 'x'. Combine like terms: 2x2 + -1x2 = 1x2 85 + -22x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 85 + -22x + 1x2 = 0 Factor a trinomial. (5 + -1x)(17 + -1x) = 0Subproblem 1
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 = 5Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {5, 17}
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