3n^2-n+4=0

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Solution for 3n^2-n+4=0 equation: 


Simplifying
3n2 + -1n + 4 = 0

Reorder the terms:
4 + -1n + 3n2 = 0

Solving
4 + -1n + 3n2 = 0

Solving for variable 'n'.

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

Divide each side by '3'.
1.333333333 + -0.3333333333n + n2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.3333333333n + -1.333333333 + n2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.3333333333n + n2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.3333333333n + n2 = 0 + -1.333333333
-0.3333333333n + n2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.3333333333n + n2 = -1.333333333

The n term is -0.3333333333n.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333n + 0.02777777779 + n2 = -1.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333n + n2 = -1.333333333 + 0.02777777779

Combine like terms: -1.333333333 + 0.02777777779 = -1.30555555521
0.02777777779 + -0.3333333333n + n2 = -1.30555555521

Factor a perfect square on the left side:
(n + -0.1666666667)(n + -0.1666666667) = -1.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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