20(x^4)(y^2)+72(x^3)y+4x^2=0

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Solution for 20(x^4)(y^2)+72(x^3)y+4x^2=0 equation: 


Simplifying
20(x4)(y2) + 72(x3) * y + 4x2 = 0

Multiply x4 * y2
20x4y2 + 72(x3) * y + 4x2 = 0

Multiply x3 * y
20x4y2 + 72x3y + 4x2 = 0

Reorder the terms:
4x2 + 72x3y + 20x4y2 = 0

Solving
4x2 + 72x3y + 20x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(1 + 18xy + 5x2y2) = 0

Ignore the factor 4.

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 '(1 + 18xy + 5x2y2)' equal to zero and attempt to solve:

Simplifying
1 + 18xy + 5x2y2 = 0

Solving
1 + 18xy + 5x2y2 = 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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