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Simplifying x4 + 41x2 + 180 = 0 Reorder the terms: 180 + 41x2 + x4 = 0 Solving 180 + 41x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (36 + x2)(5 + x2) = 0Subproblem 1
Set the factor '(36 + x2)' equal to zero and attempt to solve: Simplifying 36 + x2 = 0 Solving 36 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + x2 = 0 + -36 x2 = 0 + -36 Combine like terms: 0 + -36 = -36 x2 = -36 Simplifying x2 = -36 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 '(5 + x2)' equal to zero and attempt to solve: Simplifying 5 + x2 = 0 Solving 5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x2 = 0 + -5 x2 = 0 + -5 Combine like terms: 0 + -5 = -5 x2 = -5 Simplifying x2 = -5 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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