=30x^3y-25x^2y^2-30xy^3

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Solution for =30x^3y-25x^2y^2-30xy^3 equation: 


Simplifying
0 = 30x3y + -25x2y2 + -30xy3

Reorder the terms:
0 = -30xy3 + -25x2y2 + 30x3y

Solving
0 = -30xy3 + -25x2y2 + 30x3y

Solving for variable 'x'.
Remove the zero:
30xy3 + 25x2y2 + -30x3y = -30xy3 + -25x2y2 + 30x3y + 30xy3 + 25x2y2 + -30x3y

Reorder the terms:
30xy3 + 25x2y2 + -30x3y = -30xy3 + 30xy3 + -25x2y2 + 25x2y2 + 30x3y + -30x3y

Combine like terms: -30xy3 + 30xy3 = 0
30xy3 + 25x2y2 + -30x3y = 0 + -25x2y2 + 25x2y2 + 30x3y + -30x3y
30xy3 + 25x2y2 + -30x3y = -25x2y2 + 25x2y2 + 30x3y + -30x3y

Combine like terms: -25x2y2 + 25x2y2 = 0
30xy3 + 25x2y2 + -30x3y = 0 + 30x3y + -30x3y
30xy3 + 25x2y2 + -30x3y = 30x3y + -30x3y

Combine like terms: 30x3y + -30x3y = 0
30xy3 + 25x2y2 + -30x3y = 0

Factor out the Greatest Common Factor (GCF), '5xy'.
5xy(6y2 + 5xy + -6x2) = 0

Factor a trinomial.
5xy((3y + -2x)(2y + 3x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(3y + -2x)' equal to zero and attempt to solve:

Simplifying
3y + -2x = 0

Reorder the terms:
-2x + 3y = 0

Solving
-2x + 3y = 0

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

Add '-3y' to each side of the equation.
-2x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-2x + 0 = 0 + -3y
-2x = 0 + -3y
Remove the zero:
-2x = -3y

Divide each side by '-2'.
x = 1.5y

Simplifying
x = 1.5y

Subproblem 3
Set the factor '(2y + 3x)' equal to zero and attempt to solve:

Simplifying
2y + 3x = 0

Reorder the terms:
3x + 2y = 0

Solving
3x + 2y = 0

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

Add '-2y' to each side of the equation.
3x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = 0 + -2y
3x = 0 + -2y
Remove the zero:
3x = -2y

Divide each side by '3'.
x = -0.6666666667y

Simplifying
x = -0.6666666667y
Solution
x = {1.5y, -0.6666666667y}

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