-6v^2+11v-3=0

Solution for -6v^2+11v-3=0 equation:

Simplifying
-6v2 + 11v + -3 = 0

Reorder the terms:
-3 + 11v + -6v2 = 0

Solving
-3 + 11v + -6v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-3 + 2v = 0

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

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

Combine like terms: 0 + 3 = 3
2v = 3

Divide each side by '2'.
v = 1.5

Simplifying
v = 1.5
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 = {1.5, 0.3333333333}