8n-4n^2=5

Solution for 8n-4n^2=5 equation:

Simplifying
8n + -4n2 = 5

Solving
8n + -4n2 = 5

Solving for variable 'n'.

Reorder the terms:
-5 + 8n + -4n2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 8n + -4n2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.25 + -2n + n2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -2n + -1.25 + n2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -2n + n2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -2n + n2 = 0 + -1.25
-2n + n2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-2n + n2 = -1.25

The n term is -2n.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2n + 1 + n2 = -1.25 + 1

Reorder the terms:
1 + -2n + n2 = -1.25 + 1

Combine like terms: -1.25 + 1 = -0.25
1 + -2n + n2 = -0.25

Factor a perfect square on the left side:
(n + -1)(n + -1) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.