(3y-9)x(5y+1)=

Solution for (3y-9)x(5y+1)= equation:

Simplifying
(3y + -9) * x(5y + 1) = 0

Reorder the terms:
(-9 + 3y) * x(5y + 1) = 0

Reorder the terms:
(-9 + 3y) * x(1 + 5y) = 0

Reorder the terms for easier multiplication:
x(-9 + 3y)(1 + 5y) = 0

Multiply (-9 + 3y) * (1 + 5y)
x(-9(1 + 5y) + 3y * (1 + 5y)) = 0
x((1 * -9 + 5y * -9) + 3y * (1 + 5y)) = 0
x((-9 + -45y) + 3y * (1 + 5y)) = 0
x(-9 + -45y + (1 * 3y + 5y * 3y)) = 0
x(-9 + -45y + (3y + 15y2)) = 0

Combine like terms: -45y + 3y = -42y
x(-9 + -42y + 15y2) = 0
(-9 * x + -42y * x + 15y2 * x) = 0
(-9x + -42xy + 15xy2) = 0

Solving
-9x + -42xy + 15xy2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-3 + -14y + 5y2) = 0

Factor a trinomial.
3x((-1 + -5y)(3 + -1y)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1 + -5y)' equal to zero and attempt to solve:

Simplifying
-1 + -5y = 0

Solving
-1 + -5y = 0

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

Add '1' to each side of the equation.
-1 + 1 + -5y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5y = 0 + 1
-5y = 0 + 1

Combine like terms: 0 + 1 = 1
-5y = 1

Add '5y' to each side of the equation.
-5y + 5y = 1 + 5y

Combine like terms: -5y + 5y = 0
0 = 1 + 5y

Simplifying
0 = 1 + 5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Add 'y' to each side of the equation.
-1y + y = -3 + y

Combine like terms: -1y + y = 0
0 = -3 + y

Simplifying
0 = -3 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}