9v^4+18v^2+9=

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Solution for 9v^4+18v^2+9= equation:


Simplifying
9v4 + 18v2 + 9 = 0

Reorder the terms:
9 + 18v2 + 9v4 = 0

Solving
9 + 18v2 + 9v4 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '9'.
9(1 + 2v2 + v4) = 0

Factor a trinomial.
9((1 + v2)(1 + v2)) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(1 + v2)' equal to zero and attempt to solve: Simplifying 1 + v2 = 0 Solving 1 + v2 = 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 + v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v2 = 0 + -1 v2 = 0 + -1 Combine like terms: 0 + -1 = -1 v2 = -1 Simplifying v2 = -1 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 + v2)' equal to zero and attempt to solve: Simplifying 1 + v2 = 0 Solving 1 + v2 = 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 + v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v2 = 0 + -1 v2 = 0 + -1 Combine like terms: 0 + -1 = -1 v2 = -1 Simplifying v2 = -1 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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