6x^2+x^2y-xy^2-4x^2=

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


Simplifying
6x2 + x2y + -1xy2 + -4x2 = 0

Reorder the terms:
-1xy2 + 6x2 + -4x2 + x2y = 0

Combine like terms: 6x2 + -4x2 = 2x2
-1xy2 + 2x2 + x2y = 0

Solving
-1xy2 + 2x2 + x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1y2 + 2x + xy) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1y2 + 2x + xy)' equal to zero and attempt to solve:

Simplifying
-1y2 + 2x + xy = 0

Reorder the terms:
2x + xy + -1y2 = 0

Solving
2x + xy + -1y2 = 0

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

Add 'y2' to each side of the equation.
2x + xy + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
2x + xy + 0 = 0 + y2
2x + xy = 0 + y2
Remove the zero:
2x + xy = y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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