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Simplifying x2 + -16x + 64 + x2 + -2x + 1 = x2 Reorder the terms: 64 + 1 + -16x + -2x + x2 + x2 = x2 Combine like terms: 64 + 1 = 65 65 + -16x + -2x + x2 + x2 = x2 Combine like terms: -16x + -2x = -18x 65 + -18x + x2 + x2 = x2 Combine like terms: x2 + x2 = 2x2 65 + -18x + 2x2 = x2 Solving 65 + -18x + 2x2 = x2 Solving for variable 'x'. Combine like terms: 2x2 + -1x2 = 1x2 65 + -18x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 65 + -18x + 1x2 = 0 Factor a trinomial. (5 + -1x)(13 + -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 '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {5, 13}
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