11n^2-6n=-3

Solution for 11n^2-6n=-3 equation:

Simplifying
11n2 + -6n = -3

Reorder the terms:
-6n + 11n2 = -3

Solving
-6n + 11n2 = -3

Solving for variable 'n'.

Reorder the terms:
3 + -6n + 11n2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -6n + 11n2 = 0

Begin completing the square.  Divide all terms by
11 the coefficient of the squared term: 

Divide each side by '11'.
0.2727272727 + -0.5454545455n + n2 = 0

Move the constant term to the right:

Add '-0.2727272727' to each side of the equation.
0.2727272727 + -0.5454545455n + -0.2727272727 + n2 = 0 + -0.2727272727

Reorder the terms:
0.2727272727 + -0.2727272727 + -0.5454545455n + n2 = 0 + -0.2727272727

Combine like terms: 0.2727272727 + -0.2727272727 = 0.0000000000
0.0000000000 + -0.5454545455n + n2 = 0 + -0.2727272727
-0.5454545455n + n2 = 0 + -0.2727272727

Combine like terms: 0 + -0.2727272727 = -0.2727272727
-0.5454545455n + n2 = -0.2727272727

The n term is -0.5454545455n.  Take half its coefficient (-0.2727272728).
Square it (0.07438016533) and add it to both sides.

Add '0.07438016533' to each side of the equation.
-0.5454545455n + 0.07438016533 + n2 = -0.2727272727 + 0.07438016533

Reorder the terms:
0.07438016533 + -0.5454545455n + n2 = -0.2727272727 + 0.07438016533

Combine like terms: -0.2727272727 + 0.07438016533 = -0.19834710737
0.07438016533 + -0.5454545455n + n2 = -0.19834710737

Factor a perfect square on the left side:
(n + -0.2727272728)(n + -0.2727272728) = -0.19834710737

Can't calculate square root of the right side.

The solution to this equation could not be determined.