y^2+64y+1024=0

Solution for y^2+64y+1024=0 equation:

Simplifying
y2 + 64y + 1024 = 0

Reorder the terms:
1024 + 64y + y2 = 0

Solving
1024 + 64y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(32 + y)(32 + y) = 0

Subproblem 1
Set the factor '(32 + y)' equal to zero and attempt to solve:

Simplifying
32 + y = 0

Solving
32 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-32' to each side of the equation.
32 + -32 + y = 0 + -32

Combine like terms: 32 + -32 = 0
0 + y = 0 + -32
y = 0 + -32

Combine like terms: 0 + -32 = -32
y = -32

Simplifying
y = -32
Subproblem 2
Set the factor '(32 + y)' equal to zero and attempt to solve:

Simplifying
32 + y = 0

Solving
32 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-32' to each side of the equation.
32 + -32 + y = 0 + -32

Combine like terms: 32 + -32 = 0
0 + y = 0 + -32
y = 0 + -32

Combine like terms: 0 + -32 = -32
y = -32

Simplifying
y = -32
Solution
y = {-32, -32}