v^2(4v^2+22v^5+12)=0

Solution for v^2(4v^2+22v^5+12)=0 equation:

Simplifying
v2(4v2 + 22v5 + 12) = 0

Reorder the terms:
v2(12 + 4v2 + 22v5) = 0
(12 * v2 + 4v2 * v2 + 22v5 * v2) = 0
(12v2 + 4v4 + 22v7) = 0

Solving
12v2 + 4v4 + 22v7 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v2'.
2v2(6 + 2v2 + 11v5) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve:

Simplifying
v2 = 0

Solving
v2 = 0

Move all terms containing v to the left, all other terms to the right.

Simplifying
v2 = 0

Take the square root of each side:
v = {0}
Subproblem 2
Set the factor '(6 + 2v2 + 11v5)' equal to zero and attempt to solve:

Simplifying
6 + 2v2 + 11v5 = 0

Solving
6 + 2v2 + 11v5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
v = {0}