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

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


Simplifying
2x2y(2x2 + -3xy + y2) = 0

Reorder the terms:
2x2y(-3xy + 2x2 + y2) = 0
(-3xy * 2x2y + 2x2 * 2x2y + y2 * 2x2y) = 0

Reorder the terms:
(2x2y3 + -6x3y2 + 4x4y) = 0
(2x2y3 + -6x3y2 + 4x4y) = 0

Solving
2x2y3 + -6x3y2 + 4x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2y'.
2x2y(y2 + -3xy + 2x2) = 0

Factor a trinomial.
2x2y((y + -2x)(y + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve:

Simplifying
x2y = 0

Solving
x2y = 0

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

Simplifying
x2y = 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 '(y + -2x)' equal to zero and attempt to solve:

Simplifying
y + -2x = 0

Reorder the terms:
-2x + y = 0

Solving
-2x + y = 0

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

Add '-1y' to each side of the equation.
-2x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-2x + 0 = 0 + -1y
-2x = 0 + -1y
Remove the zero:
-2x = -1y

Divide each side by '-2'.
x = 0.5y

Simplifying
x = 0.5y

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 = {0.5y, y}

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