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Simplifying (x + -9)(x + 9)(x2 + 81) = 0 Reorder the terms: (-9 + x)(x + 9)(x2 + 81) = 0 Reorder the terms: (-9 + x)(9 + x)(x2 + 81) = 0 Reorder the terms: (-9 + x)(9 + x)(81 + x2) = 0 Multiply (-9 + x) * (9 + x) (-9(9 + x) + x(9 + x))(81 + x2) = 0 ((9 * -9 + x * -9) + x(9 + x))(81 + x2) = 0 ((-81 + -9x) + x(9 + x))(81 + x2) = 0 (-81 + -9x + (9 * x + x * x))(81 + x2) = 0 (-81 + -9x + (9x + x2))(81 + x2) = 0 Combine like terms: -9x + 9x = 0 (-81 + 0 + x2)(81 + x2) = 0 (-81 + x2)(81 + x2) = 0 Multiply (-81 + x2) * (81 + x2) (-81(81 + x2) + x2(81 + x2)) = 0 ((81 * -81 + x2 * -81) + x2(81 + x2)) = 0 ((-6561 + -81x2) + x2(81 + x2)) = 0 (-6561 + -81x2 + (81 * x2 + x2 * x2)) = 0 (-6561 + -81x2 + (81x2 + x4)) = 0 Combine like terms: -81x2 + 81x2 = 0 (-6561 + 0 + x4) = 0 (-6561 + x4) = 0 Solving -6561 + x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6561' to each side of the equation. -6561 + 6561 + x4 = 0 + 6561 Combine like terms: -6561 + 6561 = 0 0 + x4 = 0 + 6561 x4 = 0 + 6561 Combine like terms: 0 + 6561 = 6561 x4 = 6561 Simplifying x4 = 6561 Reorder the terms: -6561 + x4 = 6561 + -6561 Combine like terms: 6561 + -6561 = 0 -6561 + x4 = 0 Factor a difference between two squares. (81 + x2)(-81 + x2) = 0 Factor a difference between two squares. (81 + x2)((9 + x)(-9 + x)) = 0Subproblem 1
Set the factor '(81 + x2)' equal to zero and attempt to solve: Simplifying 81 + x2 = 0 Solving 81 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + x2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + x2 = 0 + -81 x2 = 0 + -81 Combine like terms: 0 + -81 = -81 x2 = -81 Simplifying x2 = -81 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 '(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 3
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 = 9Solution
x = {-9, 9}
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