3xy^2+15xy-9x=0

Solution for 3xy^2+15xy-9x=0 equation:

Simplifying
3xy2 + 15xy + -9x = 0

Reorder the terms:
-9x + 15xy + 3xy2 = 0

Solving
-9x + 15xy + 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), '3x'.
3x(-3 + 5y + y2) = 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 '(-3 + 5y + y2)' equal to zero and attempt to solve:

Simplifying
-3 + 5y + y2 = 0

Solving
-3 + 5y + y2 = 0

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

Add '3' to each side of the equation.
-3 + 5y + 3 + y2 = 0 + 3

Reorder the terms:
-3 + 3 + 5y + y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5y + y2 = 0 + 3
5y + y2 = 0 + 3

Combine like terms: 0 + 3 = 3
5y + y2 = 3

Add '-5y' to each side of the equation.
5y + -5y + y2 = 3 + -5y

Combine like terms: 5y + -5y = 0
0 + y2 = 3 + -5y
y2 = 3 + -5y

Add '-1y2' to each side of the equation.
y2 + -1y2 = 3 + -5y + -1y2

Combine like terms: y2 + -1y2 = 0
0 = 3 + -5y + -1y2

Simplifying
0 = 3 + -5y + -1y2

The solution to this equation could not be determined.

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