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Simplifying x4 + 290x2 + 289 = 0 Reorder the terms: 289 + 290x2 + x4 = 0 Solving 289 + 290x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (289 + x2)(1 + x2) = 0Subproblem 1
Set the factor '(289 + x2)' equal to zero and attempt to solve: Simplifying 289 + x2 = 0 Solving 289 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-289' to each side of the equation. 289 + -289 + x2 = 0 + -289 Combine like terms: 289 + -289 = 0 0 + x2 = 0 + -289 x2 = 0 + -289 Combine like terms: 0 + -289 = -289 x2 = -289 Simplifying x2 = -289 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 '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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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