=3x^2y^3(4x^2-7xy+y^4)

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Solution for =3x^2y^3(4x^2-7xy+y^4) equation: 


Simplifying
0 = 3x2y3(4x2 + -7xy + y4)

Reorder the terms:
0 = 3x2y3(-7xy + 4x2 + y4)
0 = (-7xy * 3x2y3 + 4x2 * 3x2y3 + y4 * 3x2y3)

Reorder the terms:
0 = (3x2y7 + -21x3y4 + 12x4y3)
0 = (3x2y7 + -21x3y4 + 12x4y3)

Solving
0 = 3x2y7 + -21x3y4 + 12x4y3

Solving for variable 'x'.
Remove the zero:
-3x2y7 + 21x3y4 + -12x4y3 = 3x2y7 + -21x3y4 + 12x4y3 + -3x2y7 + 21x3y4 + -12x4y3

Reorder the terms:
-3x2y7 + 21x3y4 + -12x4y3 = 3x2y7 + -3x2y7 + -21x3y4 + 21x3y4 + 12x4y3 + -12x4y3

Combine like terms: 3x2y7 + -3x2y7 = 0
-3x2y7 + 21x3y4 + -12x4y3 = 0 + -21x3y4 + 21x3y4 + 12x4y3 + -12x4y3
-3x2y7 + 21x3y4 + -12x4y3 = -21x3y4 + 21x3y4 + 12x4y3 + -12x4y3

Combine like terms: -21x3y4 + 21x3y4 = 0
-3x2y7 + 21x3y4 + -12x4y3 = 0 + 12x4y3 + -12x4y3
-3x2y7 + 21x3y4 + -12x4y3 = 12x4y3 + -12x4y3

Combine like terms: 12x4y3 + -12x4y3 = 0
-3x2y7 + 21x3y4 + -12x4y3 = 0

Factor out the Greatest Common Factor (GCF), '3x2y3'.
3x2y3(-1y4 + 7xy + -4x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve:

Simplifying
x2y3 = 0

Solving
x2y3 = 0

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

Simplifying
x2y3 = 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 '(-1y4 + 7xy + -4x2)' equal to zero and attempt to solve:

Simplifying
-1y4 + 7xy + -4x2 = 0

Reorder the terms:
7xy + -4x2 + -1y4 = 0

Solving
7xy + -4x2 + -1y4 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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