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

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


Simplifying
x2 * y + x + x4 * y + 2x3 * y + x2 * y = 0

Multiply x2 * y
x2y + x + x4 * y + 2x3 * y + x2 * y = 0

Multiply x4 * y
x2y + x + x4y + 2x3 * y + x2 * y = 0

Multiply x3 * y
x2y + x + x4y + 2x3y + x2 * y = 0

Multiply x2 * y
x2y + x + x4y + 2x3y + x2y = 0

Reorder the terms:
x + x2y + x2y + 2x3y + x4y = 0

Combine like terms: x2y + x2y = 2x2y
x + 2x2y + 2x3y + x4y = 0

Solving
x + 2x2y + 2x3y + x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 2xy + 2x2y + x3y) = 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 '(1 + 2xy + 2x2y + x3y)' equal to zero and attempt to solve: Simplifying 1 + 2xy + 2x2y + x3y = 0 Solving 1 + 2xy + 2x2y + x3y = 0 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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