18v^2-11v+1=0

Solution for 18v^2-11v+1=0 equation:

Simplifying
18v2 + -11v + 1 = 0

Reorder the terms:
1 + -11v + 18v2 = 0

Solving
1 + -11v + 18v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -9v)(1 + -2v) = 0

Subproblem 1
Set the factor '(1 + -9v)' equal to zero and attempt to solve:

Simplifying
1 + -9v = 0

Solving
1 + -9v = 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 + -9v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9v = 0 + -1
-9v = 0 + -1

Combine like terms: 0 + -1 = -1
-9v = -1

Divide each side by '-9'.
v = 0.1111111111

Simplifying
v = 0.1111111111
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 = {0.1111111111, 0.5}