3n^2-52n+232=0

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Solution for 3n^2-52n+232=0 equation: 


Simplifying
3n2 + -52n + 232 = 0

Reorder the terms:
232 + -52n + 3n2 = 0

Solving
232 + -52n + 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'.
77.33333333 + -17.33333333n + n2 = 0

Move the constant term to the right:

Add '-77.33333333' to each side of the equation.
77.33333333 + -17.33333333n + -77.33333333 + n2 = 0 + -77.33333333

Reorder the terms:
77.33333333 + -77.33333333 + -17.33333333n + n2 = 0 + -77.33333333

Combine like terms: 77.33333333 + -77.33333333 = 0.00000000
0.00000000 + -17.33333333n + n2 = 0 + -77.33333333
-17.33333333n + n2 = 0 + -77.33333333

Combine like terms: 0 + -77.33333333 = -77.33333333
-17.33333333n + n2 = -77.33333333

The n term is -17.33333333n.  Take half its coefficient (-8.666666665).
Square it (75.11111108) and add it to both sides.

Add '75.11111108' to each side of the equation.
-17.33333333n + 75.11111108 + n2 = -77.33333333 + 75.11111108

Reorder the terms:
75.11111108 + -17.33333333n + n2 = -77.33333333 + 75.11111108

Combine like terms: -77.33333333 + 75.11111108 = -2.22222225
75.11111108 + -17.33333333n + n2 = -2.22222225

Factor a perfect square on the left side:
(n + -8.666666665)(n + -8.666666665) = -2.22222225

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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