6x^2y+8xy^2-10x^2y-15xy+9xy^2=0

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Solution for 6x^2y+8xy^2-10x^2y-15xy+9xy^2=0 equation: 


Simplifying
6x2y + 8xy2 + -10x2y + -15xy + 9xy2 = 0

Reorder the terms:
-15xy + 8xy2 + 9xy2 + 6x2y + -10x2y = 0

Combine like terms: 8xy2 + 9xy2 = 17xy2
-15xy + 17xy2 + 6x2y + -10x2y = 0

Combine like terms: 6x2y + -10x2y = -4x2y
-15xy + 17xy2 + -4x2y = 0

Solving
-15xy + 17xy2 + -4x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-15 + 17y + -4x) = 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 '(-15 + 17y + -4x)' equal to zero and attempt to solve:

Simplifying
-15 + 17y + -4x = 0

Reorder the terms:
-15 + -4x + 17y = 0

Solving
-15 + -4x + 17y = 0

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

Add '15' to each side of the equation.
-15 + -4x + 15 + 17y = 0 + 15

Reorder the terms:
-15 + 15 + -4x + 17y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -4x + 17y = 0 + 15
-4x + 17y = 0 + 15

Combine like terms: 0 + 15 = 15
-4x + 17y = 15

Add '-17y' to each side of the equation.
-4x + 17y + -17y = 15 + -17y

Combine like terms: 17y + -17y = 0
-4x + 0 = 15 + -17y
-4x = 15 + -17y

Divide each side by '-4'.
x = -3.75 + 4.25y

Simplifying
x = -3.75 + 4.25y
Solution
x = {-3.75 + 4.25y}

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