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Simplifying x4 + 9x2 = -14 Reorder the terms: 9x2 + x4 = -14 Solving 9x2 + x4 = -14 Solving for variable 'x'. Reorder the terms: 14 + 9x2 + x4 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 9x2 + x4 = 0 Factor a trinomial. (7 + x2)(2 + x2) = 0Subproblem 1
Set the factor '(7 + x2)' equal to zero and attempt to solve: Simplifying 7 + x2 = 0 Solving 7 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 0 + -7 x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x2 = -7 Simplifying x2 = -7 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 '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -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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