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Simplifying (11 + -1x)(11 + -1x) + 64 = 100 Multiply (11 + -1x) * (11 + -1x) (11(11 + -1x) + -1x * (11 + -1x)) + 64 = 100 ((11 * 11 + -1x * 11) + -1x * (11 + -1x)) + 64 = 100 ((121 + -11x) + -1x * (11 + -1x)) + 64 = 100 (121 + -11x + (11 * -1x + -1x * -1x)) + 64 = 100 (121 + -11x + (-11x + 1x2)) + 64 = 100 Combine like terms: -11x + -11x = -22x (121 + -22x + 1x2) + 64 = 100 Reorder the terms: 121 + 64 + -22x + 1x2 = 100 Combine like terms: 121 + 64 = 185 185 + -22x + 1x2 = 100 Solving 185 + -22x + 1x2 = 100 Solving for variable 'x'. Reorder the terms: 185 + -100 + -22x + 1x2 = 100 + -100 Combine like terms: 185 + -100 = 85 85 + -22x + 1x2 = 100 + -100 Combine like terms: 100 + -100 = 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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