16x^4+65x^2+4=0

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Solution for 16x^4+65x^2+4=0 equation:


Simplifying
16x4 + 65x2 + 4 = 0

Reorder the terms:
4 + 65x2 + 16x4 = 0

Solving
4 + 65x2 + 16x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x2)(1 + 16x2) = 0

Subproblem 1

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.

Subproblem 2

Set the factor '(1 + 16x2)' equal to zero and attempt to solve: Simplifying 1 + 16x2 = 0 Solving 1 + 16x2 = 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 + 16x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16x2 = 0 + -1 16x2 = 0 + -1 Combine like terms: 0 + -1 = -1 16x2 = -1 Divide each side by '16'. x2 = -0.0625 Simplifying x2 = -0.0625 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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