8x^3+40x^3y+50xy^2=0

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Solution for 8x^3+40x^3y+50xy^2=0 equation: 


Simplifying
8x3 + 40x3y + 50xy2 = 0

Reorder the terms:
50xy2 + 8x3 + 40x3y = 0

Solving
50xy2 + 8x3 + 40x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(25y2 + 4x2 + 20x2y) = 0

Ignore the factor 2.

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 '(25y2 + 4x2 + 20x2y)' equal to zero and attempt to solve:

Simplifying
25y2 + 4x2 + 20x2y = 0

Reorder the terms:
4x2 + 20x2y + 25y2 = 0

Solving
4x2 + 20x2y + 25y2 = 0

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

Add '-25y2' to each side of the equation.
4x2 + 20x2y + 25y2 + -25y2 = 0 + -25y2

Combine like terms: 25y2 + -25y2 = 0
4x2 + 20x2y + 0 = 0 + -25y2
4x2 + 20x2y = 0 + -25y2
Remove the zero:
4x2 + 20x2y = -25y2

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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