3v^2-11v+8=0

Solution for 3v^2-11v+8=0 equation:

Simplifying
3v2 + -11v + 8 = 0

Reorder the terms:
8 + -11v + 3v2 = 0

Solving
8 + -11v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -1v)(8 + -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 '(8 + -3v)' equal to zero and attempt to solve:

Simplifying
8 + -3v = 0

Solving
8 + -3v = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3v = 0 + -8
-3v = 0 + -8

Combine like terms: 0 + -8 = -8
-3v = -8

Divide each side by '-3'.
v = 2.666666667

Simplifying
v = 2.666666667
Solution
v = {1, 2.666666667}