=(x^2y^2z+2z+9xyz)(3x^2y^2z^2+7xyz)

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Solution for =(x^2y^2z+2z+9xyz)(3x^2y^2z^2+7xyz) equation: 


Simplifying
0 = (x2y2z + 2z + 9xyz)(3x2y2z2 + 7xyz)

Reorder the terms:
0 = (9xyz + x2y2z + 2z)(3x2y2z2 + 7xyz)

Reorder the terms:
0 = (9xyz + x2y2z + 2z)(7xyz + 3x2y2z2)

Multiply (9xyz + x2y2z + 2z) * (7xyz + 3x2y2z2)
0 = (9xyz * (7xyz + 3x2y2z2) + x2y2z(7xyz + 3x2y2z2) + 2z * (7xyz + 3x2y2z2))
0 = ((7xyz * 9xyz + 3x2y2z2 * 9xyz) + x2y2z(7xyz + 3x2y2z2) + 2z * (7xyz + 3x2y2z2))
0 = ((63x2y2z2 + 27x3y3z3) + x2y2z(7xyz + 3x2y2z2) + 2z * (7xyz + 3x2y2z2))
0 = (63x2y2z2 + 27x3y3z3 + (7xyz * x2y2z + 3x2y2z2 * x2y2z) + 2z * (7xyz + 3x2y2z2))
0 = (63x2y2z2 + 27x3y3z3 + (7x3y3z2 + 3x4y4z3) + 2z * (7xyz + 3x2y2z2))
0 = (63x2y2z2 + 27x3y3z3 + 7x3y3z2 + 3x4y4z3 + (7xyz * 2z + 3x2y2z2 * 2z))
0 = (63x2y2z2 + 27x3y3z3 + 7x3y3z2 + 3x4y4z3 + (14xyz2 + 6x2y2z3))

Reorder the terms:
0 = (14xyz2 + 63x2y2z2 + 6x2y2z3 + 7x3y3z2 + 27x3y3z3 + 3x4y4z3)
0 = (14xyz2 + 63x2y2z2 + 6x2y2z3 + 7x3y3z2 + 27x3y3z3 + 3x4y4z3)

Solving
0 = 14xyz2 + 63x2y2z2 + 6x2y2z3 + 7x3y3z2 + 27x3y3z3 + 3x4y4z3

Solving for variable 'x'.
Remove the zero:
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 14xyz2 + 63x2y2z2 + 6x2y2z3 + 7x3y3z2 + 27x3y3z3 + 3x4y4z3 + -14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3

Reorder the terms:
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 14xyz2 + -14xyz2 + 63x2y2z2 + -63x2y2z2 + 6x2y2z3 + -6x2y2z3 + 7x3y3z2 + -7x3y3z2 + 27x3y3z3 + -27x3y3z3 + 3x4y4z3 + -3x4y4z3

Combine like terms: 14xyz2 + -14xyz2 = 0
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 0 + 63x2y2z2 + -63x2y2z2 + 6x2y2z3 + -6x2y2z3 + 7x3y3z2 + -7x3y3z2 + 27x3y3z3 + -27x3y3z3 + 3x4y4z3 + -3x4y4z3
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 63x2y2z2 + -63x2y2z2 + 6x2y2z3 + -6x2y2z3 + 7x3y3z2 + -7x3y3z2 + 27x3y3z3 + -27x3y3z3 + 3x4y4z3 + -3x4y4z3

Combine like terms: 63x2y2z2 + -63x2y2z2 = 0
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 0 + 6x2y2z3 + -6x2y2z3 + 7x3y3z2 + -7x3y3z2 + 27x3y3z3 + -27x3y3z3 + 3x4y4z3 + -3x4y4z3
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 6x2y2z3 + -6x2y2z3 + 7x3y3z2 + -7x3y3z2 + 27x3y3z3 + -27x3y3z3 + 3x4y4z3 + -3x4y4z3

Combine like terms: 6x2y2z3 + -6x2y2z3 = 0
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 0 + 7x3y3z2 + -7x3y3z2 + 27x3y3z3 + -27x3y3z3 + 3x4y4z3 + -3x4y4z3
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 7x3y3z2 + -7x3y3z2 + 27x3y3z3 + -27x3y3z3 + 3x4y4z3 + -3x4y4z3

Combine like terms: 7x3y3z2 + -7x3y3z2 = 0
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 0 + 27x3y3z3 + -27x3y3z3 + 3x4y4z3 + -3x4y4z3
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 27x3y3z3 + -27x3y3z3 + 3x4y4z3 + -3x4y4z3

Combine like terms: 27x3y3z3 + -27x3y3z3 = 0
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 0 + 3x4y4z3 + -3x4y4z3
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 3x4y4z3 + -3x4y4z3

Combine like terms: 3x4y4z3 + -3x4y4z3 = 0
-14xyz2 + -63x2y2z2 + -6x2y2z3 + -7x3y3z2 + -27x3y3z3 + -3x4y4z3 = 0

Factor out the Greatest Common Factor (GCF), '-1xyz2'.
-1xyz2(14 + 63xy + 6xyz + 7x2y2 + 27x2y2z + 3x3y3z) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'xyz2' equal to zero and attempt to solve:

Simplifying
xyz2 = 0

Solving
xyz2 = 0

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

Simplifying
xyz2 = 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 '(14 + 63xy + 6xyz + 7x2y2 + 27x2y2z + 3x3y3z)' equal to zero and attempt to solve:

Simplifying
14 + 63xy + 6xyz + 7x2y2 + 27x2y2z + 3x3y3z = 0

Solving
14 + 63xy + 6xyz + 7x2y2 + 27x2y2z + 3x3y3z = 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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