-2x^3y+4x^2y^2+70xy^3=0

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Solution for -2x^3y+4x^2y^2+70xy^3=0 equation: 


Simplifying
-2x3y + 4x2y2 + 70xy3 = 0

Reorder the terms:
70xy3 + 4x2y2 + -2x3y = 0

Solving
70xy3 + 4x2y2 + -2x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(35y2 + 2xy + -1x2) = 0

Factor a trinomial.
2xy((7y + -1x)(5y + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7y + -1x)' equal to zero and attempt to solve:

Simplifying
7y + -1x = 0

Reorder the terms:
-1x + 7y = 0

Solving
-1x + 7y = 0

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

Add '-7y' to each side of the equation.
-1x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
-1x + 0 = 0 + -7y
-1x = 0 + -7y
Remove the zero:
-1x = -7y

Divide each side by '-1'.
x = 7y

Simplifying
x = 7y

Subproblem 3
Set the factor '(5y + x)' equal to zero and attempt to solve:

Simplifying
5y + x = 0

Reorder the terms:
x + 5y = 0

Solving
x + 5y = 0

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

Add '-5y' to each side of the equation.
x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
x + 0 = 0 + -5y
x = 0 + -5y
Remove the zero:
x = -5y

Simplifying
x = -5y
Solution
x = {7y, -5y}

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