16y^2=-32y-16

Solution for 16y^2=-32y-16 equation:

Simplifying
16y2 = -32y + -16

Reorder the terms:
16y2 = -16 + -32y

Solving
16y2 = -16 + -32y

Solving for variable 'y'.

Reorder the terms:
16 + 32y + 16y2 = -16 + -32y + 16 + 32y

Reorder the terms:
16 + 32y + 16y2 = -16 + 16 + -32y + 32y

Combine like terms: -16 + 16 = 0
16 + 32y + 16y2 = 0 + -32y + 32y
16 + 32y + 16y2 = -32y + 32y

Combine like terms: -32y + 32y = 0
16 + 32y + 16y2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(1 + 2y + y2) = 0

Factor a trinomial.
16((1 + y)(1 + y)) = 0

Ignore the factor 16.
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}