16y^2+64y+64=0

Solution for 16y^2+64y+64=0 equation:

Simplifying
16y2 + 64y + 64 = 0

Reorder the terms:
64 + 64y + 16y2 = 0

Solving
64 + 64y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '16'.
16(4 + 4y + y2) = 0

Factor a trinomial.
16((2 + y)(2 + y)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

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

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {-2, -2}