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Simplifying (11 + -1x)(11 + -1x) = 0 Multiply (11 + -1x) * (11 + -1x) (11(11 + -1x) + -1x * (11 + -1x)) = 0 ((11 * 11 + -1x * 11) + -1x * (11 + -1x)) = 0 ((121 + -11x) + -1x * (11 + -1x)) = 0 (121 + -11x + (11 * -1x + -1x * -1x)) = 0 (121 + -11x + (-11x + 1x2)) = 0 Combine like terms: -11x + -11x = -22x (121 + -22x + 1x2) = 0 Solving 121 + -22x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + -1x)(11 + -1x) = 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 '(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 = 11Solution
x = {11, 11}
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