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

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


Simplifying
(4z + -1x)(z3 + -4z2x + 2zx2 + -1x3) = 0

Reorder the terms:
(-1x + 4z)(z3 + -4z2x + 2zx2 + -1x3) = 0

Reorder the terms:
(-1x + 4z)(-4xz2 + 2x2z + -1x3 + z3) = 0

Multiply (-1x + 4z) * (-4xz2 + 2x2z + -1x3 + z3)
(-1x * (-4xz2 + 2x2z + -1x3 + z3) + 4z * (-4xz2 + 2x2z + -1x3 + z3)) = 0
((-4xz2 * -1x + 2x2z * -1x + -1x3 * -1x + z3 * -1x) + 4z * (-4xz2 + 2x2z + -1x3 + z3)) = 0

Reorder the terms:
((-1xz3 + 4x2z2 + -2x3z + 1x4) + 4z * (-4xz2 + 2x2z + -1x3 + z3)) = 0
((-1xz3 + 4x2z2 + -2x3z + 1x4) + 4z * (-4xz2 + 2x2z + -1x3 + z3)) = 0
(-1xz3 + 4x2z2 + -2x3z + 1x4 + (-4xz2 * 4z + 2x2z * 4z + -1x3 * 4z + z3 * 4z)) = 0
(-1xz3 + 4x2z2 + -2x3z + 1x4 + (-16xz3 + 8x2z2 + -4x3z + 4z4)) = 0

Reorder the terms:
(-1xz3 + -16xz3 + 4x2z2 + 8x2z2 + -2x3z + -4x3z + 1x4 + 4z4) = 0

Combine like terms: -1xz3 + -16xz3 = -17xz3
(-17xz3 + 4x2z2 + 8x2z2 + -2x3z + -4x3z + 1x4 + 4z4) = 0

Combine like terms: 4x2z2 + 8x2z2 = 12x2z2
(-17xz3 + 12x2z2 + -2x3z + -4x3z + 1x4 + 4z4) = 0

Combine like terms: -2x3z + -4x3z = -6x3z
(-17xz3 + 12x2z2 + -6x3z + 1x4 + 4z4) = 0

Solving
-17xz3 + 12x2z2 + -6x3z + 1x4 + 4z4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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