(3y+18)(4y^2)=0

Solution for (3y+18)(4y^2)=0 equation:

Simplifying
(3y + 18)(4y2) = 0

Reorder the terms:
(18 + 3y)(4y2) = 0

Remove parenthesis around (4y2)
(18 + 3y) * 4y2 = 0

Reorder the terms for easier multiplication:
4y2(18 + 3y) = 0
(18 * 4y2 + 3y * 4y2) = 0
(72y2 + 12y3) = 0

Solving
72y2 + 12y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '12y2'.
12y2(6 + y) = 0

Ignore the factor 12.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
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 = {0, -6}