10x^4y^2+40x^3y+2x^2=0

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Solution for 10x^4y^2+40x^3y+2x^2=0 equation: 


Simplifying
10x4y2 + 40x3y + 2x2 = 0

Reorder the terms:
2x2 + 40x3y + 10x4y2 = 0

Solving
2x2 + 40x3y + 10x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(1 + 20xy + 5x2y2) = 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 '(1 + 20xy + 5x2y2)' equal to zero and attempt to solve:

Simplifying
1 + 20xy + 5x2y2 = 0

Solving
1 + 20xy + 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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