9n^2-2n+6=3

Solution for 9n^2-2n+6=3 equation:

Simplifying
9n2 + -2n + 6 = 3

Reorder the terms:
6 + -2n + 9n2 = 3

Solving
6 + -2n + 9n2 = 3

Solving for variable 'n'.

Reorder the terms:
6 + -3 + -2n + 9n2 = 3 + -3

Combine like terms: 6 + -3 = 3
3 + -2n + 9n2 = 3 + -3

Combine like terms: 3 + -3 = 0
3 + -2n + 9n2 = 0

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

Divide each side by '9'.
0.3333333333 + -0.2222222222n + n2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.2222222222n + -0.3333333333 + n2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.2222222222n + n2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.2222222222n + n2 = 0 + -0.3333333333
-0.2222222222n + n2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.2222222222n + n2 = -0.3333333333

The n term is -0.2222222222n.  Take half its coefficient (-0.1111111111).
Square it (0.01234567901) and add it to both sides.

Add '0.01234567901' to each side of the equation.
-0.2222222222n + 0.01234567901 + n2 = -0.3333333333 + 0.01234567901

Reorder the terms:
0.01234567901 + -0.2222222222n + n2 = -0.3333333333 + 0.01234567901

Combine like terms: -0.3333333333 + 0.01234567901 = -0.32098765429
0.01234567901 + -0.2222222222n + n2 = -0.32098765429

Factor a perfect square on the left side:
(n + -0.1111111111)(n + -0.1111111111) = -0.32098765429

Can't calculate square root of the right side.

The solution to this equation could not be determined.