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Simplifying 0 = x2 + -10x + -11 Reorder the terms: 0 = -11 + -10x + x2 Solving 0 = -11 + -10x + x2 Solving for variable 'x'. Combine like terms: 0 + 11 = 11 11 + 10x + -1x2 = -11 + -10x + x2 + 11 + 10x + -1x2 Reorder the terms: 11 + 10x + -1x2 = -11 + 11 + -10x + 10x + x2 + -1x2 Combine like terms: -11 + 11 = 0 11 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2 11 + 10x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 11 + 10x + -1x2 = 0 + x2 + -1x2 11 + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 11 + 10x + -1x2 = 0 Factor a trinomial. (11 + -1x)(1 + x) = 0Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 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 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {11, -1}
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