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Simplifying (X4 + -81) = 0 Reorder the terms: (-81 + X4) = 0 Remove parenthesis around (-81 + X4) -81 + X4 = 0 Solving -81 + X4 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + X4 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + X4 = 0 + 81 X4 = 0 + 81 Combine like terms: 0 + 81 = 81 X4 = 81 Simplifying X4 = 81 Reorder the terms: -81 + X4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + X4 = 0 Factor a difference between two squares. (9 + X2)(-9 + X2) = 0 Factor a difference between two squares. (9 + X2)((3 + X)(-3 + X)) = 0Subproblem 1
Set the factor '(9 + X2)' equal to zero and attempt to solve: Simplifying 9 + X2 = 0 Solving 9 + X2 = 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 + X2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + X2 = 0 + -9 X2 = 0 + -9 Combine like terms: 0 + -9 = -9 X2 = -9 Simplifying X2 = -9 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 '(3 + X)' equal to zero and attempt to solve: Simplifying 3 + X = 0 Solving 3 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X = 0 + -3 X = 0 + -3 Combine like terms: 0 + -3 = -3 X = -3 Simplifying X = -3Subproblem 3
Set the factor '(-3 + X)' equal to zero and attempt to solve: Simplifying -3 + X = 0 Solving -3 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + X = 0 + 3 X = 0 + 3 Combine like terms: 0 + 3 = 3 X = 3 Simplifying X = 3Solution
X = {-3, 3}
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