5n^2=2n-4

Solution for 5n^2=2n-4 equation:

Simplifying
5n2 = 2n + -4

Reorder the terms:
5n2 = -4 + 2n

Solving
5n2 = -4 + 2n

Solving for variable 'n'.

Reorder the terms:
4 + -2n + 5n2 = -4 + 2n + 4 + -2n

Reorder the terms:
4 + -2n + 5n2 = -4 + 4 + 2n + -2n

Combine like terms: -4 + 4 = 0
4 + -2n + 5n2 = 0 + 2n + -2n
4 + -2n + 5n2 = 2n + -2n

Combine like terms: 2n + -2n = 0
4 + -2n + 5n2 = 0

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

Divide each side by '5'.
0.8 + -0.4n + n2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -0.4n + -0.8 + n2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -0.4n + n2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.4n + n2 = 0 + -0.8
-0.4n + n2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-0.4n + n2 = -0.8

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 = -0.8 + 0.04

Reorder the terms:
0.04 + -0.4n + n2 = -0.8 + 0.04

Combine like terms: -0.8 + 0.04 = -0.76
0.04 + -0.4n + n2 = -0.76

Factor a perfect square on the left side:
(n + -0.2)(n + -0.2) = -0.76

Can't calculate square root of the right side.

The solution to this equation could not be determined.