1+9v^4+6v^2=0

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Solution for 1+9v^4+6v^2=0 equation:


Simplifying
1 + 9v4 + 6v2 = 0

Reorder the terms:
1 + 6v2 + 9v4 = 0

Solving
1 + 6v2 + 9v4 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + 3v2)(1 + 3v2) = 0

Subproblem 1

Set the factor '(1 + 3v2)' equal to zero and attempt to solve: Simplifying 1 + 3v2 = 0 Solving 1 + 3v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3v2 = 0 + -1 3v2 = 0 + -1 Combine like terms: 0 + -1 = -1 3v2 = -1 Divide each side by '3'. v2 = -0.3333333333 Simplifying v2 = -0.3333333333 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 + 3v2)' equal to zero and attempt to solve: Simplifying 1 + 3v2 = 0 Solving 1 + 3v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3v2 = 0 + -1 3v2 = 0 + -1 Combine like terms: 0 + -1 = -1 3v2 = -1 Divide each side by '3'. v2 = -0.3333333333 Simplifying v2 = -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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