36x^3y+24x^2y^2-45xy^3=

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Solution for 36x^3y+24x^2y^2-45xy^3= equation: 


Simplifying
36x3y + 24x2y2 + -45xy3 = 0

Reorder the terms:
-45xy3 + 24x2y2 + 36x3y = 0

Solving
-45xy3 + 24x2y2 + 36x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(-15y2 + 8xy + 12x2) = 0

Factor a trinomial.
3xy((-3y + -2x)(5y + -6x)) = 0

Ignore the factor 3.

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

Simplifying
5y + -6x = 0

Reorder the terms:
-6x + 5y = 0

Solving
-6x + 5y = 0

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

Add '-5y' to each side of the equation.
-6x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
-6x + 0 = 0 + -5y
-6x = 0 + -5y
Remove the zero:
-6x = -5y

Divide each side by '-6'.
x = 0.8333333333y

Simplifying
x = 0.8333333333y
Solution
x = {-1.5y, 0.8333333333y}

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