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Simplifying x4 + 45x2 + 324 = 0 Reorder the terms: 324 + 45x2 + x4 = 0 Solving 324 + 45x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (36 + x2)(9 + 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 '(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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