2v^2(-1)=-6v

Solution for 2v^2(-1)=-6v equation:

Simplifying
2v2(-1) = -6v

Reorder the terms for easier multiplication:
2 * -1v2 = -6v

Multiply 2 * -1
-2v2 = -6v

Solving
-2v2 = -6v

Solving for variable 'v'.

Reorder the terms:
6v + -2v2 = -6v + 6v

Combine like terms: -6v + 6v = 0
6v + -2v2 = 0

Factor out the Greatest Common Factor (GCF), '2v'.
2v(3 + -1v) = 0

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

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0
Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {0, 3}