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Simplifying 0 = 5x4 + -36x2 + -81 Reorder the terms: 0 = -81 + -36x2 + 5x4 Solving 0 = -81 + -36x2 + 5x4 Solving for variable 'x'. Combine like terms: 0 + 81 = 81 81 + 36x2 + -5x4 = -81 + -36x2 + 5x4 + 81 + 36x2 + -5x4 Reorder the terms: 81 + 36x2 + -5x4 = -81 + 81 + -36x2 + 36x2 + 5x4 + -5x4 Combine like terms: -81 + 81 = 0 81 + 36x2 + -5x4 = 0 + -36x2 + 36x2 + 5x4 + -5x4 81 + 36x2 + -5x4 = -36x2 + 36x2 + 5x4 + -5x4 Combine like terms: -36x2 + 36x2 = 0 81 + 36x2 + -5x4 = 0 + 5x4 + -5x4 81 + 36x2 + -5x4 = 5x4 + -5x4 Combine like terms: 5x4 + -5x4 = 0 81 + 36x2 + -5x4 = 0 Factor a trinomial. (9 + -1x2)(9 + 5x2) = 0 Factor a difference between two squares. ((3 + x)(3 + -1x))(9 + 5x2) = 0Subproblem 1
Set the factor '(9 + 5x2)' equal to zero and attempt to solve: Simplifying 9 + 5x2 = 0 Solving 9 + 5x2 = 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 + 5x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x2 = 0 + -9 5x2 = 0 + -9 Combine like terms: 0 + -9 = -9 5x2 = -9 Divide each side by '5'. x2 = -1.8 Simplifying x2 = -1.8 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 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-3, 3}
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