2x^4-16x^5y+32x^2y^2=0

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Solution for 2x^4-16x^5y+32x^2y^2=0 equation: 


Simplifying
2x4 + -16x5y + 32x2y2 = 0

Reorder the terms:
32x2y2 + 2x4 + -16x5y = 0

Solving
32x2y2 + 2x4 + -16x5y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(16y2 + x2 + -8x3y) = 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 '(16y2 + x2 + -8x3y)' equal to zero and attempt to solve:

Simplifying
16y2 + x2 + -8x3y = 0

Reorder the terms:
x2 + -8x3y + 16y2 = 0

Solving
x2 + -8x3y + 16y2 = 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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