9x^3y-15x^2y^2+6xy^3=

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Solution for 9x^3y-15x^2y^2+6xy^3= equation: 


Simplifying
9x3y + -15x2y2 + 6xy3 = 0

Reorder the terms:
6xy3 + -15x2y2 + 9x3y = 0

Solving
6xy3 + -15x2y2 + 9x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(2y2 + -5xy + 3x2) = 0

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

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

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

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

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

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

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

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