3x^2(2xy-3xy^2+4x^2y^3)=0

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


Simplifying
3x2(2xy + -3xy2 + 4x2y3) = 0
(2xy * 3x2 + -3xy2 * 3x2 + 4x2y3 * 3x2) = 0
(6x3y + -9x3y2 + 12x4y3) = 0

Solving
6x3y + -9x3y2 + 12x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x3y'.
3x3y(2 + -3y + 4xy2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x3y' equal to zero and attempt to solve:

Simplifying
x3y = 0

Solving
x3y = 0

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

Simplifying
x3y = 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 '(2 + -3y + 4xy2)' equal to zero and attempt to solve:

Simplifying
2 + -3y + 4xy2 = 0

Reorder the terms:
2 + 4xy2 + -3y = 0

Solving
2 + 4xy2 + -3y = 0

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

Add '-2' to each side of the equation.
2 + 4xy2 + -2 + -3y = 0 + -2

Reorder the terms:
2 + -2 + 4xy2 + -3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4xy2 + -3y = 0 + -2
4xy2 + -3y = 0 + -2

Combine like terms: 0 + -2 = -2
4xy2 + -3y = -2

Add '3y' to each side of the equation.
4xy2 + -3y + 3y = -2 + 3y

Combine like terms: -3y + 3y = 0
4xy2 + 0 = -2 + 3y
4xy2 = -2 + 3y

Divide each side by '4y2'.
x = -0.5y-2 + 0.75y-1

Simplifying
x = -0.5y-2 + 0.75y-1
Solution
x = {-0.5y-2 + 0.75y-1}

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