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Simplifying x4 + 125x2 + 2500 = 0 Reorder the terms: 2500 + 125x2 + x4 = 0 Solving 2500 + 125x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (100 + x2)(25 + x2) = 0Subproblem 1
Set the factor '(100 + x2)' equal to zero and attempt to solve: Simplifying 100 + x2 = 0 Solving 100 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + x2 = 0 + -100 x2 = 0 + -100 Combine like terms: 0 + -100 = -100 x2 = -100 Simplifying x2 = -100 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 '(25 + x2)' equal to zero and attempt to solve: Simplifying 25 + x2 = 0 Solving 25 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x2 = 0 + -25 x2 = 0 + -25 Combine like terms: 0 + -25 = -25 x2 = -25 Simplifying x2 = -25 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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