3x^4y^3-15x^3y^3-18x^2y^3=

Solution for 3x^4y^3-15x^3y^3-18x^2y^3= equation:

Simplifying
3x4y3 + -15x3y3 + -18x2y3 = 0

Reorder the terms:
-18x2y3 + -15x3y3 + 3x4y3 = 0

Solving
-18x2y3 + -15x3y3 + 3x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2y3'.
3x2y3(-6 + -5x + x2) = 0

Factor a trinomial.
3x2y3((-1 + -1x)(6 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve:

Simplifying
x2y3 = 0

Solving
x2y3 = 0

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

Simplifying
x2y3 = 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 '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

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

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

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

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

Simplifying
x = -1
Subproblem 3
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-1, 6}