(8z-x)(z^3-8z^2x+4zx^2-x^3)=

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Solution for (8z-x)(z^3-8z^2x+4zx^2-x^3)= equation: 


Simplifying
(8z + -1x)(z3 + -8z2x + 4zx2 + -1x3) = 0

Reorder the terms:
(-1x + 8z)(z3 + -8z2x + 4zx2 + -1x3) = 0

Reorder the terms:
(-1x + 8z)(-8xz2 + 4x2z + -1x3 + z3) = 0

Multiply (-1x + 8z) * (-8xz2 + 4x2z + -1x3 + z3)
(-1x * (-8xz2 + 4x2z + -1x3 + z3) + 8z * (-8xz2 + 4x2z + -1x3 + z3)) = 0
((-8xz2 * -1x + 4x2z * -1x + -1x3 * -1x + z3 * -1x) + 8z * (-8xz2 + 4x2z + -1x3 + z3)) = 0

Reorder the terms:
((-1xz3 + 8x2z2 + -4x3z + 1x4) + 8z * (-8xz2 + 4x2z + -1x3 + z3)) = 0
((-1xz3 + 8x2z2 + -4x3z + 1x4) + 8z * (-8xz2 + 4x2z + -1x3 + z3)) = 0
(-1xz3 + 8x2z2 + -4x3z + 1x4 + (-8xz2 * 8z + 4x2z * 8z + -1x3 * 8z + z3 * 8z)) = 0
(-1xz3 + 8x2z2 + -4x3z + 1x4 + (-64xz3 + 32x2z2 + -8x3z + 8z4)) = 0

Reorder the terms:
(-1xz3 + -64xz3 + 8x2z2 + 32x2z2 + -4x3z + -8x3z + 1x4 + 8z4) = 0

Combine like terms: -1xz3 + -64xz3 = -65xz3
(-65xz3 + 8x2z2 + 32x2z2 + -4x3z + -8x3z + 1x4 + 8z4) = 0

Combine like terms: 8x2z2 + 32x2z2 = 40x2z2
(-65xz3 + 40x2z2 + -4x3z + -8x3z + 1x4 + 8z4) = 0

Combine like terms: -4x3z + -8x3z = -12x3z
(-65xz3 + 40x2z2 + -12x3z + 1x4 + 8z4) = 0

Solving
-65xz3 + 40x2z2 + -12x3z + 1x4 + 8z4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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