y^2+8y+64=0

Solution for y^2+8y+64=0 equation:

Simplifying
y2 + 8y + 64 = 0

Reorder the terms:
64 + 8y + y2 = 0

Solving
64 + 8y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + 8y + -64 + y2 = 0 + -64

Reorder the terms:
64 + -64 + 8y + y2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 8y + y2 = 0 + -64
8y + y2 = 0 + -64

Combine like terms: 0 + -64 = -64
8y + y2 = -64

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 = -64 + 16

Reorder the terms:
16 + 8y + y2 = -64 + 16

Combine like terms: -64 + 16 = -48
16 + 8y + y2 = -48

Factor a perfect square on the left side:
(y + 4)(y + 4) = -48

Can't calculate square root of the right side.

The solution to this equation could not be determined.