=(2x^3y+z^2)(2x^3y+z^2)(2x^3y+z^2)

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


Simplifying
0 = (2x3y + z2)(2x3y + z2)(2x3y + z2)

Multiply (2x3y + z2) * (2x3y + z2)
0 = (2x3y * (2x3y + z2) + z2(2x3y + z2))(2x3y + z2)
0 = ((2x3y * 2x3y + z2 * 2x3y) + z2(2x3y + z2))(2x3y + z2)

Reorder the terms:
0 = ((2x3yz2 + 4x6y2) + z2(2x3y + z2))(2x3y + z2)
0 = ((2x3yz2 + 4x6y2) + z2(2x3y + z2))(2x3y + z2)
0 = (2x3yz2 + 4x6y2 + (2x3y * z2 + z2 * z2))(2x3y + z2)
0 = (2x3yz2 + 4x6y2 + (2x3yz2 + z4))(2x3y + z2)

Reorder the terms:
0 = (2x3yz2 + 2x3yz2 + 4x6y2 + z4)(2x3y + z2)

Combine like terms: 2x3yz2 + 2x3yz2 = 4x3yz2
0 = (4x3yz2 + 4x6y2 + z4)(2x3y + z2)

Multiply (4x3yz2 + 4x6y2 + z4) * (2x3y + z2)
0 = (4x3yz2 * (2x3y + z2) + 4x6y2 * (2x3y + z2) + z4(2x3y + z2))
0 = ((2x3y * 4x3yz2 + z2 * 4x3yz2) + 4x6y2 * (2x3y + z2) + z4(2x3y + z2))

Reorder the terms:
0 = ((4x3yz4 + 8x6y2z2) + 4x6y2 * (2x3y + z2) + z4(2x3y + z2))
0 = ((4x3yz4 + 8x6y2z2) + 4x6y2 * (2x3y + z2) + z4(2x3y + z2))
0 = (4x3yz4 + 8x6y2z2 + (2x3y * 4x6y2 + z2 * 4x6y2) + z4(2x3y + z2))

Reorder the terms:
0 = (4x3yz4 + 8x6y2z2 + (4x6y2z2 + 8x9y3) + z4(2x3y + z2))
0 = (4x3yz4 + 8x6y2z2 + (4x6y2z2 + 8x9y3) + z4(2x3y + z2))
0 = (4x3yz4 + 8x6y2z2 + 4x6y2z2 + 8x9y3 + (2x3y * z4 + z2 * z4))
0 = (4x3yz4 + 8x6y2z2 + 4x6y2z2 + 8x9y3 + (2x3yz4 + z6))

Reorder the terms:
0 = (4x3yz4 + 2x3yz4 + 8x6y2z2 + 4x6y2z2 + 8x9y3 + z6)

Combine like terms: 4x3yz4 + 2x3yz4 = 6x3yz4
0 = (6x3yz4 + 8x6y2z2 + 4x6y2z2 + 8x9y3 + z6)

Combine like terms: 8x6y2z2 + 4x6y2z2 = 12x6y2z2
0 = (6x3yz4 + 12x6y2z2 + 8x9y3 + z6)

Solving
0 = 6x3yz4 + 12x6y2z2 + 8x9y3 + z6

Solving for variable 'x'.
Remove the zero:
-6x3yz4 + -12x6y2z2 + -8x9y3 + -1z6 = 6x3yz4 + 12x6y2z2 + 8x9y3 + z6 + -6x3yz4 + -12x6y2z2 + -8x9y3 + -1z6

Reorder the terms:
-6x3yz4 + -12x6y2z2 + -8x9y3 + -1z6 = 6x3yz4 + -6x3yz4 + 12x6y2z2 + -12x6y2z2 + 8x9y3 + -8x9y3 + z6 + -1z6

Combine like terms: 6x3yz4 + -6x3yz4 = 0
-6x3yz4 + -12x6y2z2 + -8x9y3 + -1z6 = 0 + 12x6y2z2 + -12x6y2z2 + 8x9y3 + -8x9y3 + z6 + -1z6
-6x3yz4 + -12x6y2z2 + -8x9y3 + -1z6 = 12x6y2z2 + -12x6y2z2 + 8x9y3 + -8x9y3 + z6 + -1z6

Combine like terms: 12x6y2z2 + -12x6y2z2 = 0
-6x3yz4 + -12x6y2z2 + -8x9y3 + -1z6 = 0 + 8x9y3 + -8x9y3 + z6 + -1z6
-6x3yz4 + -12x6y2z2 + -8x9y3 + -1z6 = 8x9y3 + -8x9y3 + z6 + -1z6

Combine like terms: 8x9y3 + -8x9y3 = 0
-6x3yz4 + -12x6y2z2 + -8x9y3 + -1z6 = 0 + z6 + -1z6
-6x3yz4 + -12x6y2z2 + -8x9y3 + -1z6 = z6 + -1z6

Combine like terms: z6 + -1z6 = 0
-6x3yz4 + -12x6y2z2 + -8x9y3 + -1z6 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6x3yz4 + 12x6y2z2 + 8x9y3 + z6) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(6x3yz4 + 12x6y2z2 + 8x9y3 + z6)' equal to zero and attempt to solve:

Simplifying
6x3yz4 + 12x6y2z2 + 8x9y3 + z6 = 0

Solving
6x3yz4 + 12x6y2z2 + 8x9y3 + z6 = 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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