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Simplifying 0 = x4 + 18x2 + 81 Reorder the terms: 0 = 81 + 18x2 + x4 Solving 0 = 81 + 18x2 + x4 Solving for variable 'x'. Combine like terms: 0 + -81 = -81 -81 + -18x2 + -1x4 = 81 + 18x2 + x4 + -81 + -18x2 + -1x4 Reorder the terms: -81 + -18x2 + -1x4 = 81 + -81 + 18x2 + -18x2 + x4 + -1x4 Combine like terms: 81 + -81 = 0 -81 + -18x2 + -1x4 = 0 + 18x2 + -18x2 + x4 + -1x4 -81 + -18x2 + -1x4 = 18x2 + -18x2 + x4 + -1x4 Combine like terms: 18x2 + -18x2 = 0 -81 + -18x2 + -1x4 = 0 + x4 + -1x4 -81 + -18x2 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -81 + -18x2 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(81 + 18x2 + x4) = 0 Factor a trinomial. -1((9 + x2)(9 + x2)) = 0 Ignore the factor -1.Subproblem 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 '(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. The solution to this equation could not be determined.
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