2x^3y+6x^2y^2-56xy^3=

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Solution for 2x^3y+6x^2y^2-56xy^3= equation: 


Simplifying
2x3y + 6x2y2 + -56xy3 = 0

Reorder the terms:
-56xy3 + 6x2y2 + 2x3y = 0

Solving
-56xy3 + 6x2y2 + 2x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(-28y2 + 3xy + x2) = 0

Factor a trinomial.
2xy((-7y + -1x)(4y + -1x)) = 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 '(4y + -1x)' equal to zero and attempt to solve:

Simplifying
4y + -1x = 0

Reorder the terms:
-1x + 4y = 0

Solving
-1x + 4y = 0

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

Add '-4y' to each side of the equation.
-1x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
-1x + 0 = 0 + -4y
-1x = 0 + -4y
Remove the zero:
-1x = -4y

Divide each side by '-1'.
x = 4y

Simplifying
x = 4y
Solution
x = {-7y, 4y}

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