=(m^2n+8)(m^2n+8)(m^2n+8)

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Solution for =(m^2n+8)(m^2n+8)(m^2n+8) equation: 


Simplifying
0 = (m2n + 8)(m2n + 8)(m2n + 8)

Reorder the terms:
0 = (8 + m2n)(m2n + 8)(m2n + 8)

Reorder the terms:
0 = (8 + m2n)(8 + m2n)(m2n + 8)

Reorder the terms:
0 = (8 + m2n)(8 + m2n)(8 + m2n)

Multiply (8 + m2n) * (8 + m2n)
0 = (8(8 + m2n) + m2n(8 + m2n))(8 + m2n)
0 = ((8 * 8 + m2n * 8) + m2n(8 + m2n))(8 + m2n)
0 = ((64 + 8m2n) + m2n(8 + m2n))(8 + m2n)
0 = (64 + 8m2n + (8 * m2n + m2n * m2n))(8 + m2n)
0 = (64 + 8m2n + (8m2n + m4n2))(8 + m2n)

Combine like terms: 8m2n + 8m2n = 16m2n
0 = (64 + 16m2n + m4n2)(8 + m2n)

Multiply (64 + 16m2n + m4n2) * (8 + m2n)
0 = (64(8 + m2n) + 16m2n * (8 + m2n) + m4n2(8 + m2n))
0 = ((8 * 64 + m2n * 64) + 16m2n * (8 + m2n) + m4n2(8 + m2n))
0 = ((512 + 64m2n) + 16m2n * (8 + m2n) + m4n2(8 + m2n))
0 = (512 + 64m2n + (8 * 16m2n + m2n * 16m2n) + m4n2(8 + m2n))
0 = (512 + 64m2n + (128m2n + 16m4n2) + m4n2(8 + m2n))
0 = (512 + 64m2n + 128m2n + 16m4n2 + (8 * m4n2 + m2n * m4n2))
0 = (512 + 64m2n + 128m2n + 16m4n2 + (8m4n2 + m6n3))

Combine like terms: 64m2n + 128m2n = 192m2n
0 = (512 + 192m2n + 16m4n2 + 8m4n2 + m6n3)

Combine like terms: 16m4n2 + 8m4n2 = 24m4n2
0 = (512 + 192m2n + 24m4n2 + m6n3)

Solving
0 = 512 + 192m2n + 24m4n2 + m6n3

Solving for variable 'm'.

Combine like terms: 0 + -512 = -512
-512 + -192m2n + -24m4n2 + -1m6n3 = 512 + 192m2n + 24m4n2 + m6n3 + -512 + -192m2n + -24m4n2 + -1m6n3

Reorder the terms:
-512 + -192m2n + -24m4n2 + -1m6n3 = 512 + -512 + 192m2n + -192m2n + 24m4n2 + -24m4n2 + m6n3 + -1m6n3

Combine like terms: 512 + -512 = 0
-512 + -192m2n + -24m4n2 + -1m6n3 = 0 + 192m2n + -192m2n + 24m4n2 + -24m4n2 + m6n3 + -1m6n3
-512 + -192m2n + -24m4n2 + -1m6n3 = 192m2n + -192m2n + 24m4n2 + -24m4n2 + m6n3 + -1m6n3

Combine like terms: 192m2n + -192m2n = 0
-512 + -192m2n + -24m4n2 + -1m6n3 = 0 + 24m4n2 + -24m4n2 + m6n3 + -1m6n3
-512 + -192m2n + -24m4n2 + -1m6n3 = 24m4n2 + -24m4n2 + m6n3 + -1m6n3

Combine like terms: 24m4n2 + -24m4n2 = 0
-512 + -192m2n + -24m4n2 + -1m6n3 = 0 + m6n3 + -1m6n3
-512 + -192m2n + -24m4n2 + -1m6n3 = m6n3 + -1m6n3

Combine like terms: m6n3 + -1m6n3 = 0
-512 + -192m2n + -24m4n2 + -1m6n3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(512 + 192m2n + 24m4n2 + m6n3) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(512 + 192m2n + 24m4n2 + m6n3)' equal to zero and attempt to solve:

Simplifying
512 + 192m2n + 24m4n2 + m6n3 = 0

Solving
512 + 192m2n + 24m4n2 + m6n3 = 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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