-5n^2+4n-6=0

Solution for -5n^2+4n-6=0 equation:

Simplifying
-5n2 + 4n + -6 = 0

Reorder the terms:
-6 + 4n + -5n2 = 0

Solving
-6 + 4n + -5n2 = 0

Solving for variable 'n'.

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

Divide each side by '-5'.
1.2 + -0.8n + n2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -0.8n + -1.2 + n2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -0.8n + n2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.8n + n2 = 0 + -1.2
-0.8n + n2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-0.8n + n2 = -1.2

The n term is -0.8n.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8n + 0.16 + n2 = -1.2 + 0.16

Reorder the terms:
0.16 + -0.8n + n2 = -1.2 + 0.16

Combine like terms: -1.2 + 0.16 = -1.04
0.16 + -0.8n + n2 = -1.04

Factor a perfect square on the left side:
(n + -0.4)(n + -0.4) = -1.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.