-5n^2+n+3=6

Solution for -5n^2+n+3=6 equation:

Simplifying
-5n2 + n + 3 = 6

Reorder the terms:
3 + n + -5n2 = 6

Solving
3 + n + -5n2 = 6

Solving for variable 'n'.

Reorder the terms:
3 + -6 + n + -5n2 = 6 + -6

Combine like terms: 3 + -6 = -3
-3 + n + -5n2 = 6 + -6

Combine like terms: 6 + -6 = 0
-3 + n + -5n2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.6 + -0.2n + n2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.2n + -0.6 + n2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.2n + n2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.2n + n2 = 0 + -0.6
-0.2n + n2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.2n + n2 = -0.6

The n term is n.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.2n + 0.25 + n2 = -0.6 + 0.25

Reorder the terms:
0.25 + -0.2n + n2 = -0.6 + 0.25

Combine like terms: -0.6 + 0.25 = -0.35
0.25 + -0.2n + n2 = -0.35

Factor a perfect square on the left side:
(n + 0.5)(n + 0.5) = -0.35

Can't calculate square root of the right side.

The solution to this equation could not be determined.