(3z-x)(z^3-3z^2x+6zx^2-x^3)=

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Solution for (3z-x)(z^3-3z^2x+6zx^2-x^3)= equation:


Simplifying
(3z + -1x)(z3 + -3z2x + 6zx2 + -1x3) = 0

Reorder the terms:
(-1x + 3z)(z3 + -3z2x + 6zx2 + -1x3) = 0

Reorder the terms:
(-1x + 3z)(-3xz2 + 6x2z + -1x3 + z3) = 0

Multiply (-1x + 3z) * (-3xz2 + 6x2z + -1x3 + z3)
(-1x * (-3xz2 + 6x2z + -1x3 + z3) + 3z * (-3xz2 + 6x2z + -1x3 + z3)) = 0
((-3xz2 * -1x + 6x2z * -1x + -1x3 * -1x + z3 * -1x) + 3z * (-3xz2 + 6x2z + -1x3 + z3)) = 0

Reorder the terms:
((-1xz3 + 3x2z2 + -6x3z + 1x4) + 3z * (-3xz2 + 6x2z + -1x3 + z3)) = 0
((-1xz3 + 3x2z2 + -6x3z + 1x4) + 3z * (-3xz2 + 6x2z + -1x3 + z3)) = 0
(-1xz3 + 3x2z2 + -6x3z + 1x4 + (-3xz2 * 3z + 6x2z * 3z + -1x3 * 3z + z3 * 3z)) = 0
(-1xz3 + 3x2z2 + -6x3z + 1x4 + (-9xz3 + 18x2z2 + -3x3z + 3z4)) = 0

Reorder the terms:
(-1xz3 + -9xz3 + 3x2z2 + 18x2z2 + -6x3z + -3x3z + 1x4 + 3z4) = 0

Combine like terms: -1xz3 + -9xz3 = -10xz3
(-10xz3 + 3x2z2 + 18x2z2 + -6x3z + -3x3z + 1x4 + 3z4) = 0

Combine like terms: 3x2z2 + 18x2z2 = 21x2z2
(-10xz3 + 21x2z2 + -6x3z + -3x3z + 1x4 + 3z4) = 0

Combine like terms: -6x3z + -3x3z = -9x3z
(-10xz3 + 21x2z2 + -9x3z + 1x4 + 3z4) = 0

Solving
-10xz3 + 21x2z2 + -9x3z + 1x4 + 3z4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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