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Simplifying x = x2 + -110 Reorder the terms: x = -110 + x2 Solving x = -110 + x2 Solving for variable 'x'. Reorder the terms: 110 + x + -1x2 = -110 + x2 + 110 + -1x2 Reorder the terms: 110 + x + -1x2 = -110 + 110 + x2 + -1x2 Combine like terms: -110 + 110 = 0 110 + x + -1x2 = 0 + x2 + -1x2 110 + x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 110 + x + -1x2 = 0 Factor a trinomial. (11 + -1x)(10 + 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {11, -10}
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