0=y^2+12y+64

Solution for 0=y^2+12y+64 equation:

Simplifying
0 = y2 + 12y + 64

Reorder the terms:
0 = 64 + 12y + y2

Solving
0 = 64 + 12y + y2

Solving for variable 'y'.

Combine like terms: 0 + -64 = -64
-64 + -12y + -1y2 = 64 + 12y + y2 + -64 + -12y + -1y2

Reorder the terms:
-64 + -12y + -1y2 = 64 + -64 + 12y + -12y + y2 + -1y2

Combine like terms: 64 + -64 = 0
-64 + -12y + -1y2 = 0 + 12y + -12y + y2 + -1y2
-64 + -12y + -1y2 = 12y + -12y + y2 + -1y2

Combine like terms: 12y + -12y = 0
-64 + -12y + -1y2 = 0 + y2 + -1y2
-64 + -12y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-64 + -12y + -1y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(64 + 12y + y2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(64 + 12y + y2)' equal to zero and attempt to solve:

Simplifying
64 + 12y + y2 = 0

Solving
64 + 12y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + 12y + -64 + y2 = 0 + -64

Reorder the terms:
64 + -64 + 12y + y2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 12y + y2 = 0 + -64
12y + y2 = 0 + -64

Combine like terms: 0 + -64 = -64
12y + y2 = -64

The y term is 12y.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12y + 36 + y2 = -64 + 36

Reorder the terms:
36 + 12y + y2 = -64 + 36

Combine like terms: -64 + 36 = -28
36 + 12y + y2 = -28

Factor a perfect square on the left side:
(y + 6)(y + 6) = -28

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.