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Simplifying 2x4 + 17x2 + 36 = 0 Reorder the terms: 36 + 17x2 + 2x4 = 0 Solving 36 + 17x2 + 2x4 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 2x2)(4 + x2) = 0Subproblem 1
Set the factor '(9 + 2x2)' equal to zero and attempt to solve: Simplifying 9 + 2x2 = 0 Solving 9 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x2 = 0 + -9 2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2x2 = -9 Divide each side by '2'. x2 = -4.5 Simplifying x2 = -4.5 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 '(4 + x2)' equal to zero and attempt to solve: Simplifying 4 + x2 = 0 Solving 4 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x2 = -4 Simplifying x2 = -4 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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