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Simplifying 11x(121 + 11x)(121 + 11x) = 0 Multiply (121 + 11x) * (121 + 11x) 11x(121(121 + 11x) + 11x * (121 + 11x)) = 0 11x((121 * 121 + 11x * 121) + 11x * (121 + 11x)) = 0 11x((14641 + 1331x) + 11x * (121 + 11x)) = 0 11x(14641 + 1331x + (121 * 11x + 11x * 11x)) = 0 11x(14641 + 1331x + (1331x + 121x2)) = 0 Combine like terms: 1331x + 1331x = 2662x 11x(14641 + 2662x + 121x2) = 0 (14641 * 11x + 2662x * 11x + 121x2 * 11x) = 0 (161051x + 29282x2 + 1331x3) = 0 Solving 161051x + 29282x2 + 1331x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '1331x'. 1331x(121 + 22x + x2) = 0 Factor a trinomial. 1331x((11 + x)(11 + x)) = 0 Ignore the factor 1331.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
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 3
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 = -11Solution
x = {0, -11, -11}
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