y^2+13y+56=0

Solution for y^2+13y+56=0 equation:

Simplifying
y2 + 13y + 56 = 0

Reorder the terms:
56 + 13y + y2 = 0

Solving
56 + 13y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + 13y + -56 + y2 = 0 + -56

Reorder the terms:
56 + -56 + 13y + y2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + 13y + y2 = 0 + -56
13y + y2 = 0 + -56

Combine like terms: 0 + -56 = -56
13y + y2 = -56

The y term is 13y.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13y + 42.25 + y2 = -56 + 42.25

Reorder the terms:
42.25 + 13y + y2 = -56 + 42.25

Combine like terms: -56 + 42.25 = -13.75
42.25 + 13y + y2 = -13.75

Factor a perfect square on the left side:
(y + 6.5)(y + 6.5) = -13.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.