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Simplifying (x2 + 129)(x2 + -121) = 0 Reorder the terms: (129 + x2)(x2 + -121) = 0 Reorder the terms: (129 + x2)(-121 + x2) = 0 Multiply (129 + x2) * (-121 + x2) (129(-121 + x2) + x2(-121 + x2)) = 0 ((-121 * 129 + x2 * 129) + x2(-121 + x2)) = 0 ((-15609 + 129x2) + x2(-121 + x2)) = 0 (-15609 + 129x2 + (-121 * x2 + x2 * x2)) = 0 (-15609 + 129x2 + (-121x2 + x4)) = 0 Combine like terms: 129x2 + -121x2 = 8x2 (-15609 + 8x2 + x4) = 0 Solving -15609 + 8x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-129 + -1x2)(121 + -1x2) = 0 Factor a difference between two squares. (-129 + -1x2)((11 + x)(11 + -1x)) = 0Subproblem 1
Set the factor '(-129 + -1x2)' equal to zero and attempt to solve: Simplifying -129 + -1x2 = 0 Solving -129 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '129' to each side of the equation. -129 + 129 + -1x2 = 0 + 129 Combine like terms: -129 + 129 = 0 0 + -1x2 = 0 + 129 -1x2 = 0 + 129 Combine like terms: 0 + 129 = 129 -1x2 = 129 Divide each side by '-1'. x2 = -129 Simplifying x2 = -129 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 + -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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