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Simplifying x4 + 17x2 + 52 = 0 Reorder the terms: 52 + 17x2 + x4 = 0 Solving 52 + 17x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (13 + x2)(4 + x2) = 0Subproblem 1
Set the factor '(13 + x2)' equal to zero and attempt to solve: Simplifying 13 + x2 = 0 Solving 13 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x2 = 0 + -13 x2 = 0 + -13 Combine like terms: 0 + -13 = -13 x2 = -13 Simplifying x2 = -13 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 '(4 + x2)' equal to zero and attempt to solve: Simplifying 4 + x2 = 0 Solving 4 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x2 = -4 Simplifying x2 = -4 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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