0=-3v^2-2v+1

Solution for 0=-3v^2-2v+1 equation:

Simplifying
0 = -3v2 + -2v + 1

Reorder the terms:
0 = 1 + -2v + -3v2

Solving
0 = 1 + -2v + -3v2

Solving for variable 'v'.

Combine like terms: 0 + -1 = -1
-1 + 2v + 3v2 = 1 + -2v + -3v2 + -1 + 2v + 3v2

Reorder the terms:
-1 + 2v + 3v2 = 1 + -1 + -2v + 2v + -3v2 + 3v2

Combine like terms: 1 + -1 = 0
-1 + 2v + 3v2 = 0 + -2v + 2v + -3v2 + 3v2
-1 + 2v + 3v2 = -2v + 2v + -3v2 + 3v2

Combine like terms: -2v + 2v = 0
-1 + 2v + 3v2 = 0 + -3v2 + 3v2
-1 + 2v + 3v2 = -3v2 + 3v2

Combine like terms: -3v2 + 3v2 = 0
-1 + 2v + 3v2 = 0

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

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 + -3v)' equal to zero and attempt to solve:

Simplifying
1 + -3v = 0

Solving
1 + -3v = 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 + -3v = 0 + -1

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

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

Divide each side by '-3'.
v = 0.3333333333

Simplifying
v = 0.3333333333
Solution
v = {-1, 0.3333333333}