9x^4=-86x^2-45

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Solution for 9x^4=-86x^2-45 equation:


Simplifying
9x4 = -86x2 + -45

Reorder the terms:
9x4 = -45 + -86x2

Solving
9x4 = -45 + -86x2

Solving for variable 'x'.

Reorder the terms:
45 + 86x2 + 9x4 = -45 + -86x2 + 45 + 86x2

Reorder the terms:
45 + 86x2 + 9x4 = -45 + 45 + -86x2 + 86x2

Combine like terms: -45 + 45 = 0
45 + 86x2 + 9x4 = 0 + -86x2 + 86x2
45 + 86x2 + 9x4 = -86x2 + 86x2

Combine like terms: -86x2 + 86x2 = 0
45 + 86x2 + 9x4 = 0

Factor a trinomial.
(9 + x2)(5 + 9x2) = 0

Subproblem 1

Set the factor '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 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 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 = -9 Simplifying x2 = -9 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 '(5 + 9x2)' equal to zero and attempt to solve: Simplifying 5 + 9x2 = 0 Solving 5 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x2 = 0 + -5 9x2 = 0 + -5 Combine like terms: 0 + -5 = -5 9x2 = -5 Divide each side by '9'. x2 = -0.5555555556 Simplifying x2 = -0.5555555556 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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