-6v^2=-3-3v

Solution for -6v^2=-3-3v equation:

Simplifying
-6v2 = -3 + -3v

Solving
-6v2 = -3 + -3v

Solving for variable 'v'.

Reorder the terms:
3 + 3v + -6v2 = -3 + -3v + 3 + 3v

Reorder the terms:
3 + 3v + -6v2 = -3 + 3 + -3v + 3v

Combine like terms: -3 + 3 = 0
3 + 3v + -6v2 = 0 + -3v + 3v
3 + 3v + -6v2 = -3v + 3v

Combine like terms: -3v + 3v = 0
3 + 3v + -6v2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + v + -2v2) = 0

Factor a trinomial.
3((1 + -1v)(1 + 2v)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -1v)' equal to zero and attempt to solve:

Simplifying
1 + -1v = 0

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

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

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

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

Simplifying
v = 1
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
Solution
v = {1, -0.5}