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Simplifying x4 + 18x2 + 72 = 0 Reorder the terms: 72 + 18x2 + x4 = 0 Solving 72 + 18x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (12 + x2)(6 + x2) = 0Subproblem 1
Set the factor '(12 + x2)' equal to zero and attempt to solve: Simplifying 12 + x2 = 0 Solving 12 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x2 = 0 + -12 x2 = 0 + -12 Combine like terms: 0 + -12 = -12 x2 = -12 Simplifying x2 = -12 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 '(6 + x2)' equal to zero and attempt to solve: Simplifying 6 + x2 = 0 Solving 6 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x2 = 0 + -6 x2 = 0 + -6 Combine like terms: 0 + -6 = -6 x2 = -6 Simplifying x2 = -6 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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