=6x^2y^3-5x^3y^3

Solution for =6x^2y^3-5x^3y^3 equation:

Simplifying
0 = 6x2y3 + -5x3y3

Solving
0 = 6x2y3 + -5x3y3

Solving for variable 'x'.
Remove the zero:
-6x2y3 + 5x3y3 = 6x2y3 + -5x3y3 + -6x2y3 + 5x3y3

Reorder the terms:
-6x2y3 + 5x3y3 = 6x2y3 + -6x2y3 + -5x3y3 + 5x3y3

Combine like terms: 6x2y3 + -6x2y3 = 0
-6x2y3 + 5x3y3 = 0 + -5x3y3 + 5x3y3
-6x2y3 + 5x3y3 = -5x3y3 + 5x3y3

Combine like terms: -5x3y3 + 5x3y3 = 0
-6x2y3 + 5x3y3 = 0

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

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 '(-6 + 5x)' equal to zero and attempt to solve:

Simplifying
-6 + 5x = 0

Solving
-6 + 5x = 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 + 5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 0 + 6
5x = 0 + 6

Combine like terms: 0 + 6 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {1.2}