4x^3y-5x^2y^2-6xy^3=

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Solution for 4x^3y-5x^2y^2-6xy^3= equation: 


Simplifying
4x3y + -5x2y2 + -6xy3 = 0

Reorder the terms:
-6xy3 + -5x2y2 + 4x3y = 0

Solving
-6xy3 + -5x2y2 + 4x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-6y2 + -5xy + 4x2) = 0

Factor a trinomial.
xy((-3y + -4x)(2y + -1x)) = 0


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 + -4x)' equal to zero and attempt to solve:

Simplifying
-3y + -4x = 0

Reorder the terms:
-4x + -3y = 0

Solving
-4x + -3y = 0

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

Add '3y' to each side of the equation.
-4x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
-4x + 0 = 0 + 3y
-4x = 0 + 3y
Remove the zero:
-4x = 3y

Divide each side by '-4'.
x = -0.75y

Simplifying
x = -0.75y

Subproblem 3
Set the factor '(2y + -1x)' equal to zero and attempt to solve:

Simplifying
2y + -1x = 0

Reorder the terms:
-1x + 2y = 0

Solving
-1x + 2y = 0

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

Add '-2y' to each side of the equation.
-1x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
-1x + 0 = 0 + -2y
-1x = 0 + -2y
Remove the zero:
-1x = -2y

Divide each side by '-1'.
x = 2y

Simplifying
x = 2y
Solution
x = {-0.75y, 2y}

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