4v^6-22v^5-12v^4=

Solution for 4v^6-22v^5-12v^4= equation:

Simplifying
4v6 + -22v5 + -12v4 = 0

Reorder the terms:
-12v4 + -22v5 + 4v6 = 0

Solving
-12v4 + -22v5 + 4v6 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v4'.
2v4(-6 + -11v + 2v2) = 0

Factor a trinomial.
2v4((-1 + -2v)(6 + -1v)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'v4' equal to zero and attempt to solve:

Simplifying
v4 = 0

Solving
v4 = 0

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

Simplifying
v4 = 0

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 + -2v)' equal to zero and attempt to solve:

Simplifying
-1 + -2v = 0

Solving
-1 + -2v = 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 + -2v = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2v = 0 + 1
-2v = 0 + 1

Combine like terms: 0 + 1 = 1
-2v = 1

Divide each side by '-2'.
v = -0.5

Simplifying
v = -0.5
Subproblem 3
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Solution
v = {-0.5, 6}