4x^3y+2x^3-2x^2y=0

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Solution for 4x^3y+2x^3-2x^2y=0 equation:


Simplifying
4x3y + 2x3 + -2x2y = 0

Reorder the terms:
-2x2y + 2x3 + 4x3y = 0

Solving
-2x2y + 2x3 + 4x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-1y + x + 2xy) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-1y + x + 2xy)' equal to zero and attempt to solve: Simplifying -1y + x + 2xy = 0 Reorder the terms: x + 2xy + -1y = 0 Solving x + 2xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + 2xy + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 2xy + 0 = 0 + y x + 2xy = 0 + y Remove the zero: x + 2xy = y 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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