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Simplifying 0 = x2 + -12x + 11 Reorder the terms: 0 = 11 + -12x + x2 Solving 0 = 11 + -12x + x2 Solving for variable 'x'. Combine like terms: 0 + -11 = -11 -11 + 12x + -1x2 = 11 + -12x + x2 + -11 + 12x + -1x2 Reorder the terms: -11 + 12x + -1x2 = 11 + -11 + -12x + 12x + x2 + -1x2 Combine like terms: 11 + -11 = 0 -11 + 12x + -1x2 = 0 + -12x + 12x + x2 + -1x2 -11 + 12x + -1x2 = -12x + 12x + x2 + -1x2 Combine like terms: -12x + 12x = 0 -11 + 12x + -1x2 = 0 + x2 + -1x2 -11 + 12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11 + 12x + -1x2 = 0 Factor a trinomial. (-11 + x)(1 + -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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {11, 1}
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