12n^2+11=n

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Solution for 12n^2+11=n equation: 


Simplifying
12n2 + 11 = n

Reorder the terms:
11 + 12n2 = n

Solving
11 + 12n2 = n

Solving for variable 'n'.

Reorder the terms:
11 + -1n + 12n2 = n + -1n

Combine like terms: n + -1n = 0
11 + -1n + 12n2 = 0

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

Divide each side by '12'.
0.9166666667 + -0.08333333333n + n2 = 0

Move the constant term to the right:

Add '-0.9166666667' to each side of the equation.
0.9166666667 + -0.08333333333n + -0.9166666667 + n2 = 0 + -0.9166666667

Reorder the terms:
0.9166666667 + -0.9166666667 + -0.08333333333n + n2 = 0 + -0.9166666667

Combine like terms: 0.9166666667 + -0.9166666667 = 0.0000000000
0.0000000000 + -0.08333333333n + n2 = 0 + -0.9166666667
-0.08333333333n + n2 = 0 + -0.9166666667

Combine like terms: 0 + -0.9166666667 = -0.9166666667
-0.08333333333n + n2 = -0.9166666667

The n term is -0.08333333333n.  Take half its coefficient (-0.04166666667).
Square it (0.001736111111) and add it to both sides.

Add '0.001736111111' to each side of the equation.
-0.08333333333n + 0.001736111111 + n2 = -0.9166666667 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333n + n2 = -0.9166666667 + 0.001736111111

Combine like terms: -0.9166666667 + 0.001736111111 = -0.914930555589
0.001736111111 + -0.08333333333n + n2 = -0.914930555589

Factor a perfect square on the left side:
(n + -0.04166666667)(n + -0.04166666667) = -0.914930555589

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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