33(y+6)(y+16)=0

Solution for 33(y+6)(y+16)=0 equation:

Simplifying
33(y + 6)(y + 16) = 0

Reorder the terms:
33(6 + y)(y + 16) = 0

Reorder the terms:
33(6 + y)(16 + y) = 0

Multiply (6 + y) * (16 + y)
33(6(16 + y) + y(16 + y)) = 0
33((16 * 6 + y * 6) + y(16 + y)) = 0
33((96 + 6y) + y(16 + y)) = 0
33(96 + 6y + (16 * y + y * y)) = 0
33(96 + 6y + (16y + y2)) = 0

Combine like terms: 6y + 16y = 22y
33(96 + 22y + y2) = 0
(96 * 33 + 22y * 33 + y2 * 33) = 0
(3168 + 726y + 33y2) = 0

Solving
3168 + 726y + 33y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '33'.
33(96 + 22y + y2) = 0

Factor a trinomial.
33((16 + y)(6 + y)) = 0

Ignore the factor 33.
Subproblem 1
Set the factor '(16 + y)' equal to zero and attempt to solve:

Simplifying
16 + y = 0

Solving
16 + y = 0

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

Add '-16' to each side of the equation.
16 + -16 + y = 0 + -16

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

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

Simplifying
y = -16
Subproblem 2
Set the factor '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
Solution
y = {-16, -6}