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Simplifying (x2 + -121)(x2 + -81) = 0 Reorder the terms: (-121 + x2)(x2 + -81) = 0 Reorder the terms: (-121 + x2)(-81 + x2) = 0 Multiply (-121 + x2) * (-81 + x2) (-121(-81 + x2) + x2(-81 + x2)) = 0 ((-81 * -121 + x2 * -121) + x2(-81 + x2)) = 0 ((9801 + -121x2) + x2(-81 + x2)) = 0 (9801 + -121x2 + (-81 * x2 + x2 * x2)) = 0 (9801 + -121x2 + (-81x2 + x4)) = 0 Combine like terms: -121x2 + -81x2 = -202x2 (9801 + -202x2 + x4) = 0 Solving 9801 + -202x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (81 + -1x2)(121 + -1x2) = 0 Factor a difference between two squares. ((9 + x)(9 + -1x))(121 + -1x2) = 0 Factor a difference between two squares. ((11 + x)(11 + -1x))(9 + x)(9 + -1x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 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 = -11Subproblem 4
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 = {-9, 9, -11, 11}
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