(2x-4z)*(2x-4z)*(2x-4z)=

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Solution for (2x-4z)*(2x-4z)*(2x-4z)= equation: 


Simplifying
(2x + -4z)(2x + -4z)(2x + -4z) = 0

Multiply (2x + -4z) * (2x + -4z)
(2x * (2x + -4z) + -4z * (2x + -4z))(2x + -4z) = 0
((2x * 2x + -4z * 2x) + -4z * (2x + -4z))(2x + -4z) = 0

Reorder the terms:
((-8xz + 4x2) + -4z * (2x + -4z))(2x + -4z) = 0
((-8xz + 4x2) + -4z * (2x + -4z))(2x + -4z) = 0
(-8xz + 4x2 + (2x * -4z + -4z * -4z))(2x + -4z) = 0
(-8xz + 4x2 + (-8xz + 16z2))(2x + -4z) = 0

Reorder the terms:
(-8xz + -8xz + 4x2 + 16z2)(2x + -4z) = 0

Combine like terms: -8xz + -8xz = -16xz
(-16xz + 4x2 + 16z2)(2x + -4z) = 0

Multiply (-16xz + 4x2 + 16z2) * (2x + -4z)
(-16xz * (2x + -4z) + 4x2 * (2x + -4z) + 16z2 * (2x + -4z)) = 0
((2x * -16xz + -4z * -16xz) + 4x2 * (2x + -4z) + 16z2 * (2x + -4z)) = 0

Reorder the terms:
((64xz2 + -32x2z) + 4x2 * (2x + -4z) + 16z2 * (2x + -4z)) = 0
((64xz2 + -32x2z) + 4x2 * (2x + -4z) + 16z2 * (2x + -4z)) = 0
(64xz2 + -32x2z + (2x * 4x2 + -4z * 4x2) + 16z2 * (2x + -4z)) = 0

Reorder the terms:
(64xz2 + -32x2z + (-16x2z + 8x3) + 16z2 * (2x + -4z)) = 0
(64xz2 + -32x2z + (-16x2z + 8x3) + 16z2 * (2x + -4z)) = 0
(64xz2 + -32x2z + -16x2z + 8x3 + (2x * 16z2 + -4z * 16z2)) = 0
(64xz2 + -32x2z + -16x2z + 8x3 + (32xz2 + -64z3)) = 0

Reorder the terms:
(64xz2 + 32xz2 + -32x2z + -16x2z + 8x3 + -64z3) = 0

Combine like terms: 64xz2 + 32xz2 = 96xz2
(96xz2 + -32x2z + -16x2z + 8x3 + -64z3) = 0

Combine like terms: -32x2z + -16x2z = -48x2z
(96xz2 + -48x2z + 8x3 + -64z3) = 0

Solving
96xz2 + -48x2z + 8x3 + -64z3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(12xz2 + -6x2z + x3 + -8z3) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(12xz2 + -6x2z + x3 + -8z3)' equal to zero and attempt to solve:

Simplifying
12xz2 + -6x2z + x3 + -8z3 = 0

Solving
12xz2 + -6x2z + x3 + -8z3 = 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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