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Simplifying x4 + 58x2 + 441 = 0 Reorder the terms: 441 + 58x2 + x4 = 0 Solving 441 + 58x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (49 + x2)(9 + x2) = 0Subproblem 1
Set the factor '(49 + x2)' equal to zero and attempt to solve: Simplifying 49 + x2 = 0 Solving 49 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + x2 = 0 + -49 x2 = 0 + -49 Combine like terms: 0 + -49 = -49 x2 = -49 Simplifying x2 = -49 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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