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Simplifying 0 = x4 + 6x2 + 9 Reorder the terms: 0 = 9 + 6x2 + x4 Solving 0 = 9 + 6x2 + x4 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + -6x2 + -1x4 = 9 + 6x2 + x4 + -9 + -6x2 + -1x4 Reorder the terms: -9 + -6x2 + -1x4 = 9 + -9 + 6x2 + -6x2 + x4 + -1x4 Combine like terms: 9 + -9 = 0 -9 + -6x2 + -1x4 = 0 + 6x2 + -6x2 + x4 + -1x4 -9 + -6x2 + -1x4 = 6x2 + -6x2 + x4 + -1x4 Combine like terms: 6x2 + -6x2 = 0 -9 + -6x2 + -1x4 = 0 + x4 + -1x4 -9 + -6x2 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -9 + -6x2 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 6x2 + x4) = 0 Factor a trinomial. -1((3 + x2)(3 + x2)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 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 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 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 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 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 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 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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