5n(n-2)=-11

Solution for 5n(n-2)=-11 equation:

Simplifying
5n(n + -2) = -11

Reorder the terms:
5n(-2 + n) = -11
(-2 * 5n + n * 5n) = -11
(-10n + 5n2) = -11

Solving
-10n + 5n2 = -11

Solving for variable 'n'.

Reorder the terms:
11 + -10n + 5n2 = -11 + 11

Combine like terms: -11 + 11 = 0
11 + -10n + 5n2 = 0

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

Divide each side by '5'.
2.2 + -2n + n2 = 0

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + -2n + -2.2 + n2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + -2n + n2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -2n + n2 = 0 + -2.2
-2n + n2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
-2n + n2 = -2.2

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 = -2.2 + 1

Reorder the terms:
1 + -2n + n2 = -2.2 + 1

Combine like terms: -2.2 + 1 = -1.2
1 + -2n + n2 = -1.2

Factor a perfect square on the left side:
(n + -1)(n + -1) = -1.2

Can't calculate square root of the right side.

The solution to this equation could not be determined.