2k(k+3)=-19

Solution for 2k(k+3)=-19 equation:

Simplifying
2k(k + 3) = -19

Reorder the terms:
2k(3 + k) = -19
(3 * 2k + k * 2k) = -19
(6k + 2k2) = -19

Solving
6k + 2k2 = -19

Solving for variable 'k'.

Reorder the terms:
19 + 6k + 2k2 = -19 + 19

Combine like terms: -19 + 19 = 0
19 + 6k + 2k2 = 0

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

Divide each side by '2'.
9.5 + 3k + k2 = 0

Move the constant term to the right:

Add '-9.5' to each side of the equation.
9.5 + 3k + -9.5 + k2 = 0 + -9.5

Reorder the terms:
9.5 + -9.5 + 3k + k2 = 0 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + 3k + k2 = 0 + -9.5
3k + k2 = 0 + -9.5

Combine like terms: 0 + -9.5 = -9.5
3k + k2 = -9.5

The k term is 3k.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3k + 2.25 + k2 = -9.5 + 2.25

Reorder the terms:
2.25 + 3k + k2 = -9.5 + 2.25

Combine like terms: -9.5 + 2.25 = -7.25
2.25 + 3k + k2 = -7.25

Factor a perfect square on the left side:
(k + 1.5)(k + 1.5) = -7.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.