5n^2-2n=-2

Solution for 5n^2-2n=-2 equation:

Simplifying
5n2 + -2n = -2

Reorder the terms:
-2n + 5n2 = -2

Solving
-2n + 5n2 = -2

Solving for variable 'n'.

Reorder the terms:
2 + -2n + 5n2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -2n + 5n2 = 0

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

Divide each side by '5'.
0.4 + -0.4n + n2 = 0

Move the constant term to the right:

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

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

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

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

The n term is -0.4n.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4n + 0.04 + n2 = -0.4 + 0.04

Reorder the terms:
0.04 + -0.4n + n2 = -0.4 + 0.04

Combine like terms: -0.4 + 0.04 = -0.36
0.04 + -0.4n + n2 = -0.36

Factor a perfect square on the left side:
(n + -0.2)(n + -0.2) = -0.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.