4x^4+45x^2+81=0

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Solution for 4x^4+45x^2+81=0 equation:


Simplifying
4x4 + 45x2 + 81 = 0

Reorder the terms:
81 + 45x2 + 4x4 = 0

Solving
81 + 45x2 + 4x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + x2)(9 + 4x2) = 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 '(9 + 4x2)' equal to zero and attempt to solve: Simplifying 9 + 4x2 = 0 Solving 9 + 4x2 = 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 + 4x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x2 = 0 + -9 4x2 = 0 + -9 Combine like terms: 0 + -9 = -9 4x2 = -9 Divide each side by '4'. x2 = -2.25 Simplifying x2 = -2.25 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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