3y^4+16y^2+5=0

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Solution for 3y^4+16y^2+5=0 equation:


Simplifying
3y4 + 16y2 + 5 = 0

Reorder the terms:
5 + 16y2 + 3y4 = 0

Solving
5 + 16y2 + 3y4 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + y2)(1 + 3y2) = 0

Subproblem 1

Set the factor '(5 + y2)' equal to zero and attempt to solve: Simplifying 5 + y2 = 0 Solving 5 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y2 = 0 + -5 y2 = 0 + -5 Combine like terms: 0 + -5 = -5 y2 = -5 Simplifying y2 = -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 '(1 + 3y2)' equal to zero and attempt to solve: Simplifying 1 + 3y2 = 0 Solving 1 + 3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y2 = 0 + -1 3y2 = 0 + -1 Combine like terms: 0 + -1 = -1 3y2 = -1 Divide each side by '3'. y2 = -0.3333333333 Simplifying y2 = -0.3333333333 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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