3u^4+19u^2+6=0

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Solution for 3u^4+19u^2+6=0 equation:


Simplifying
3u4 + 19u2 + 6 = 0

Reorder the terms:
6 + 19u2 + 3u4 = 0

Solving
6 + 19u2 + 3u4 = 0

Solving for variable 'u'.

Factor a trinomial.
(6 + u2)(1 + 3u2) = 0

Subproblem 1

Set the factor '(6 + u2)' equal to zero and attempt to solve: Simplifying 6 + u2 = 0 Solving 6 + u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + u2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + u2 = 0 + -6 u2 = 0 + -6 Combine like terms: 0 + -6 = -6 u2 = -6 Simplifying u2 = -6 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 + 3u2)' equal to zero and attempt to solve: Simplifying 1 + 3u2 = 0 Solving 1 + 3u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3u2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3u2 = 0 + -1 3u2 = 0 + -1 Combine like terms: 0 + -1 = -1 3u2 = -1 Divide each side by '3'. u2 = -0.3333333333 Simplifying u2 = -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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