15n^2+17n+6=0

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Solution for 15n^2+17n+6=0 equation:


Simplifying
15n2 + 17n + 6 = 0

Reorder the terms:
6 + 17n + 15n2 = 0

Solving
6 + 17n + 15n2 = 0

Solving for variable 'n'.

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

Divide each side by '15'.
0.4 + 1.133333333n + n2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 1.133333333n + -0.4 + n2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 1.133333333n + n2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 1.133333333n + n2 = 0 + -0.4
1.133333333n + n2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
1.133333333n + n2 = -0.4

The n term is 1.133333333n.  Take half its coefficient (0.5666666665).
Square it (0.3211111109) and add it to both sides.

Add '0.3211111109' to each side of the equation.
1.133333333n + 0.3211111109 + n2 = -0.4 + 0.3211111109

Reorder the terms:
0.3211111109 + 1.133333333n + n2 = -0.4 + 0.3211111109

Combine like terms: -0.4 + 0.3211111109 = -0.0788888891
0.3211111109 + 1.133333333n + n2 = -0.0788888891

Factor a perfect square on the left side:
(n + 0.5666666665)(n + 0.5666666665) = -0.0788888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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