6n^2+1-n+5n^2=

Solution for 6n^2+1-n+5n^2= equation:

Simplifying
6n2 + 1 + -1n + 5n2 = 0

Reorder the terms:
1 + -1n + 6n2 + 5n2 = 0

Combine like terms: 6n2 + 5n2 = 11n2
1 + -1n + 11n2 = 0

Solving
1 + -1n + 11n2 = 0

Solving for variable 'n'.

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

Divide each side by '11'.
0.09090909091 + -0.09090909091n + n2 = 0

Move the constant term to the right:

Add '-0.09090909091' to each side of the equation.
0.09090909091 + -0.09090909091n + -0.09090909091 + n2 = 0 + -0.09090909091

Reorder the terms:
0.09090909091 + -0.09090909091 + -0.09090909091n + n2 = 0 + -0.09090909091

Combine like terms: 0.09090909091 + -0.09090909091 = 0.00000000000
0.00000000000 + -0.09090909091n + n2 = 0 + -0.09090909091
-0.09090909091n + n2 = 0 + -0.09090909091

Combine like terms: 0 + -0.09090909091 = -0.09090909091
-0.09090909091n + n2 = -0.09090909091

The n term is -0.09090909091n.  Take half its coefficient (-0.04545454546).
Square it (0.002066115703) and add it to both sides.

Add '0.002066115703' to each side of the equation.
-0.09090909091n + 0.002066115703 + n2 = -0.09090909091 + 0.002066115703

Reorder the terms:
0.002066115703 + -0.09090909091n + n2 = -0.09090909091 + 0.002066115703

Combine like terms: -0.09090909091 + 0.002066115703 = -0.088842975207
0.002066115703 + -0.09090909091n + n2 = -0.088842975207

Factor a perfect square on the left side:
(n + -0.04545454546)(n + -0.04545454546) = -0.088842975207

Can't calculate square root of the right side.

The solution to this equation could not be determined.