11Y^2-14Y+3=0

Solution for 11Y^2-14Y+3=0 equation:

Simplifying
11Y2 + -14Y + 3 = 0

Reorder the terms:
3 + -14Y + 11Y2 = 0

Solving
3 + -14Y + 11Y2 = 0

Solving for variable 'Y'.

Factor a trinomial.
(3 + -11Y)(1 + -1Y) = 0

Subproblem 1
Set the factor '(3 + -11Y)' equal to zero and attempt to solve:

Simplifying
3 + -11Y = 0

Solving
3 + -11Y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -11Y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -11Y = 0 + -3
-11Y = 0 + -3

Combine like terms: 0 + -3 = -3
-11Y = -3

Divide each side by '-11'.
Y = 0.2727272727

Simplifying
Y = 0.2727272727
Subproblem 2
Set the factor '(1 + -1Y)' equal to zero and attempt to solve:

Simplifying
1 + -1Y = 0

Solving
1 + -1Y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1Y = 0 + -1

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

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

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

Simplifying
Y = 1
Solution
Y = {0.2727272727, 1}