10x^4y+20x^4-20x^2y=0

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Solution for 10x^4y+20x^4-20x^2y=0 equation: 


Simplifying
10x4y + 20x4 + -20x2y = 0

Reorder the terms:
-20x2y + 20x4 + 10x4y = 0

Solving
-20x2y + 20x4 + 10x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x2'.
10x2(-2y + 2x2 + x2y) = 0

Ignore the factor 10.

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 '(-2y + 2x2 + x2y)' equal to zero and attempt to solve:

Simplifying
-2y + 2x2 + x2y = 0

Reorder the terms:
2x2 + x2y + -2y = 0

Solving
2x2 + x2y + -2y = 0

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

Add '2y' to each side of the equation.
2x2 + x2y + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
2x2 + x2y + 0 = 0 + 2y
2x2 + x2y = 0 + 2y
Remove the zero:
2x2 + x2y = 2y

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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