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Simplifying 5x4 + 126x2 + 25 = 0 Reorder the terms: 25 + 126x2 + 5x4 = 0 Solving 25 + 126x2 + 5x4 = 0 Solving for variable 'x'. Factor a trinomial. (25 + x2)(1 + 5x2) = 0Subproblem 1
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.Subproblem 2
Set the factor '(1 + 5x2)' equal to zero and attempt to solve: Simplifying 1 + 5x2 = 0 Solving 1 + 5x2 = 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 + 5x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x2 = 0 + -1 5x2 = 0 + -1 Combine like terms: 0 + -1 = -1 5x2 = -1 Divide each side by '5'. x2 = -0.2 Simplifying x2 = -0.2 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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