5x(y-3)-3xy-3xy(y+3)=

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

Simplifying
5x(y + -3) + -3xy + -3xy(y + 3) = 0

Reorder the terms:
5x(-3 + y) + -3xy + -3xy(y + 3) = 0
(-3 * 5x + y * 5x) + -3xy + -3xy(y + 3) = 0
(-15x + 5xy) + -3xy + -3xy(y + 3) = 0

Reorder the terms:
-15x + 5xy + -3xy + -3xy(3 + y) = 0
-15x + 5xy + -3xy + (3 * -3xy + y * -3xy) = 0
-15x + 5xy + -3xy + (-9xy + -3xy2) = 0

Combine like terms: 5xy + -3xy = 2xy
-15x + 2xy + -9xy + -3xy2 = 0

Combine like terms: 2xy + -9xy = -7xy
-15x + -7xy + -3xy2 = 0

Solving
-15x + -7xy + -3xy2 = 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), '-1x'.
-1x(15 + 7y + 3y2) = 0

Ignore the factor -1.
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 '(15 + 7y + 3y2)' equal to zero and attempt to solve:

Simplifying
15 + 7y + 3y2 = 0

Solving
15 + 7y + 3y2 = 0

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

Add '-15' to each side of the equation.
15 + 7y + -15 + 3y2 = 0 + -15

Reorder the terms:
15 + -15 + 7y + 3y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 7y + 3y2 = 0 + -15
7y + 3y2 = 0 + -15

Combine like terms: 0 + -15 = -15
7y + 3y2 = -15

Add '-7y' to each side of the equation.
7y + -7y + 3y2 = -15 + -7y

Combine like terms: 7y + -7y = 0
0 + 3y2 = -15 + -7y
3y2 = -15 + -7y

Add '-3y2' to each side of the equation.
3y2 + -3y2 = -15 + -7y + -3y2

Combine like terms: 3y2 + -3y2 = 0
0 = -15 + -7y + -3y2

Simplifying
0 = -15 + -7y + -3y2

The solution to this equation could not be determined.

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