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Simplifying x + -2 = x2 + -16x + 64 Reorder the terms: -2 + x = x2 + -16x + 64 Reorder the terms: -2 + x = 64 + -16x + x2 Solving -2 + x = 64 + -16x + x2 Solving for variable 'x'. Reorder the terms: -2 + -64 + x + 16x + -1x2 = 64 + -16x + x2 + -64 + 16x + -1x2 Combine like terms: -2 + -64 = -66 -66 + x + 16x + -1x2 = 64 + -16x + x2 + -64 + 16x + -1x2 Combine like terms: x + 16x = 17x -66 + 17x + -1x2 = 64 + -16x + x2 + -64 + 16x + -1x2 Reorder the terms: -66 + 17x + -1x2 = 64 + -64 + -16x + 16x + x2 + -1x2 Combine like terms: 64 + -64 = 0 -66 + 17x + -1x2 = 0 + -16x + 16x + x2 + -1x2 -66 + 17x + -1x2 = -16x + 16x + x2 + -1x2 Combine like terms: -16x + 16x = 0 -66 + 17x + -1x2 = 0 + x2 + -1x2 -66 + 17x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -66 + 17x + -1x2 = 0 Factor a trinomial. (-11 + x)(6 + -1x) = 0Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Simplifying x = 11Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {11, 6}
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