y^2+8y+39=0

Solution for y^2+8y+39=0 equation:

Simplifying
y2 + 8y + 39 = 0

Reorder the terms:
39 + 8y + y2 = 0

Solving
39 + 8y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + 8y + -39 + y2 = 0 + -39

Reorder the terms:
39 + -39 + 8y + y2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 8y + y2 = 0 + -39
8y + y2 = 0 + -39

Combine like terms: 0 + -39 = -39
8y + y2 = -39

The y term is 8y.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8y + 16 + y2 = -39 + 16

Reorder the terms:
16 + 8y + y2 = -39 + 16

Combine like terms: -39 + 16 = -23
16 + 8y + y2 = -23

Factor a perfect square on the left side:
(y + 4)(y + 4) = -23

Can't calculate square root of the right side.

The solution to this equation could not be determined.