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Simplifying 25x4 + 74x2 + 49 = 0 Reorder the terms: 49 + 74x2 + 25x4 = 0 Solving 49 + 74x2 + 25x4 = 0 Solving for variable 'x'. Factor a trinomial. (49 + 25x2)(1 + x2) = 0Subproblem 1
Set the factor '(49 + 25x2)' equal to zero and attempt to solve: Simplifying 49 + 25x2 = 0 Solving 49 + 25x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 25x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 25x2 = 0 + -49 25x2 = 0 + -49 Combine like terms: 0 + -49 = -49 25x2 = -49 Divide each side by '25'. x2 = -1.96 Simplifying x2 = -1.96 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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