3xy(2x^2+5xy-7y^2)=

Solution for 3xy(2x^2+5xy-7y^2)= equation:

Simplifying
3xy(2x2 + 5xy + -7y2) = 0

Reorder the terms:
3xy(5xy + 2x2 + -7y2) = 0
(5xy * 3xy + 2x2 * 3xy + -7y2 * 3xy) = 0

Reorder the terms:
(-21xy3 + 15x2y2 + 6x3y) = 0
(-21xy3 + 15x2y2 + 6x3y) = 0

Solving
-21xy3 + 15x2y2 + 6x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(-7y2 + 5xy + 2x2) = 0

Factor a trinomial.
3xy((-7y + -2x)(y + -1x)) = 0

Ignore the factor 3.
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 + -2x)' equal to zero and attempt to solve:

Simplifying
-7y + -2x = 0

Reorder the terms:
-2x + -7y = 0

Solving
-2x + -7y = 0

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

Add '7y' to each side of the equation.
-2x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
-2x + 0 = 0 + 7y
-2x = 0 + 7y
Remove the zero:
-2x = 7y

Divide each side by '-2'.
x = -3.5y

Simplifying
x = -3.5y
Subproblem 3
Set the factor '(y + -1x)' equal to zero and attempt to solve:

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

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

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

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

Simplifying
x = y
Solution
x = {-3.5y, y}