3x^4+16x^2+20=0

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Solution for 3x^4+16x^2+20=0 equation:


Simplifying
3x4 + 16x2 + 20 = 0

Reorder the terms:
20 + 16x2 + 3x4 = 0

Solving
20 + 16x2 + 3x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + 3x2)(2 + x2) = 0

Subproblem 1

Set the factor '(10 + 3x2)' equal to zero and attempt to solve: Simplifying 10 + 3x2 = 0 Solving 10 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x2 = 0 + -10 3x2 = 0 + -10 Combine like terms: 0 + -10 = -10 3x2 = -10 Divide each side by '3'. x2 = -3.333333333 Simplifying x2 = -3.333333333 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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