8y^2+16y+8=

Solution for 8y^2+16y+8= equation:

Simplifying
8y2 + 16y + 8 = 0

Reorder the terms:
8 + 16y + 8y2 = 0

Solving
8 + 16y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8'.
8(1 + 2y + y2) = 0

Factor a trinomial.
8((1 + y)(1 + y)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Simplifying
y = -1
Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Simplifying
y = -1
Solution
y = {-1, -1}