11n^2+4n+7=6

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Solution for 11n^2+4n+7=6 equation: 


Simplifying
11n2 + 4n + 7 = 6

Reorder the terms:
7 + 4n + 11n2 = 6

Solving
7 + 4n + 11n2 = 6

Solving for variable 'n'.

Reorder the terms:
7 + -6 + 4n + 11n2 = 6 + -6

Combine like terms: 7 + -6 = 1
1 + 4n + 11n2 = 6 + -6

Combine like terms: 6 + -6 = 0
1 + 4n + 11n2 = 0

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

Divide each side by '11'.
0.09090909091 + 0.3636363636n + n2 = 0

Move the constant term to the right:

Add '-0.09090909091' to each side of the equation.
0.09090909091 + 0.3636363636n + -0.09090909091 + n2 = 0 + -0.09090909091

Reorder the terms:
0.09090909091 + -0.09090909091 + 0.3636363636n + n2 = 0 + -0.09090909091

Combine like terms: 0.09090909091 + -0.09090909091 = 0.00000000000
0.00000000000 + 0.3636363636n + n2 = 0 + -0.09090909091
0.3636363636n + n2 = 0 + -0.09090909091

Combine like terms: 0 + -0.09090909091 = -0.09090909091
0.3636363636n + n2 = -0.09090909091

The n term is 0.3636363636n.  Take half its coefficient (0.1818181818).
Square it (0.03305785123) and add it to both sides.

Add '0.03305785123' to each side of the equation.
0.3636363636n + 0.03305785123 + n2 = -0.09090909091 + 0.03305785123

Reorder the terms:
0.03305785123 + 0.3636363636n + n2 = -0.09090909091 + 0.03305785123

Combine like terms: -0.09090909091 + 0.03305785123 = -0.05785123968
0.03305785123 + 0.3636363636n + n2 = -0.05785123968

Factor a perfect square on the left side:
(n + 0.1818181818)(n + 0.1818181818) = -0.05785123968

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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