5x^3y^3-30x^2y^3+45xy^3=

Solution for 5x^3y^3-30x^2y^3+45xy^3= equation:

Simplifying
5x3y3 + -30x2y3 + 45xy3 = 0

Reorder the terms:
45xy3 + -30x2y3 + 5x3y3 = 0

Solving
45xy3 + -30x2y3 + 5x3y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5xy3'.
5xy3(9 + -6x + x2) = 0

Factor a trinomial.
5xy3((3 + -1x)(3 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'xy3' equal to zero and attempt to solve:

Simplifying
xy3 = 0

Solving
xy3 = 0

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

Simplifying
xy3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3, 3}