2k(k+11)=-77

Solution for 2k(k+11)=-77 equation:

Simplifying
2k(k + 11) = -77

Reorder the terms:
2k(11 + k) = -77
(11 * 2k + k * 2k) = -77
(22k + 2k2) = -77

Solving
22k + 2k2 = -77

Solving for variable 'k'.

Reorder the terms:
77 + 22k + 2k2 = -77 + 77

Combine like terms: -77 + 77 = 0
77 + 22k + 2k2 = 0

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

Divide each side by '2'.
38.5 + 11k + k2 = 0

Move the constant term to the right:

Add '-38.5' to each side of the equation.
38.5 + 11k + -38.5 + k2 = 0 + -38.5

Reorder the terms:
38.5 + -38.5 + 11k + k2 = 0 + -38.5

Combine like terms: 38.5 + -38.5 = 0.0
0.0 + 11k + k2 = 0 + -38.5
11k + k2 = 0 + -38.5

Combine like terms: 0 + -38.5 = -38.5
11k + k2 = -38.5

The k term is 11k.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11k + 30.25 + k2 = -38.5 + 30.25

Reorder the terms:
30.25 + 11k + k2 = -38.5 + 30.25

Combine like terms: -38.5 + 30.25 = -8.25
30.25 + 11k + k2 = -8.25

Factor a perfect square on the left side:
(k + 5.5)(k + 5.5) = -8.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.