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Simplifying x4 + 25x2 + 24 = 0 Reorder the terms: 24 + 25x2 + x4 = 0 Solving 24 + 25x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (24 + x2)(1 + x2) = 0Subproblem 1
Set the factor '(24 + x2)' equal to zero and attempt to solve: Simplifying 24 + x2 = 0 Solving 24 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x2 = 0 + -24 x2 = 0 + -24 Combine like terms: 0 + -24 = -24 x2 = -24 Simplifying x2 = -24 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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