(5z-x)(z^3-5z^2x+6zx^2-x^3)=0

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Solution for (5z-x)(z^3-5z^2x+6zx^2-x^3)=0 equation:


Simplifying
(5z + -1x)(z3 + -5z2x + 6zx2 + -1x3) = 0

Reorder the terms:
(-1x + 5z)(z3 + -5z2x + 6zx2 + -1x3) = 0

Reorder the terms:
(-1x + 5z)(-5xz2 + 6x2z + -1x3 + z3) = 0

Multiply (-1x + 5z) * (-5xz2 + 6x2z + -1x3 + z3)
(-1x * (-5xz2 + 6x2z + -1x3 + z3) + 5z * (-5xz2 + 6x2z + -1x3 + z3)) = 0
((-5xz2 * -1x + 6x2z * -1x + -1x3 * -1x + z3 * -1x) + 5z * (-5xz2 + 6x2z + -1x3 + z3)) = 0

Reorder the terms:
((-1xz3 + 5x2z2 + -6x3z + 1x4) + 5z * (-5xz2 + 6x2z + -1x3 + z3)) = 0
((-1xz3 + 5x2z2 + -6x3z + 1x4) + 5z * (-5xz2 + 6x2z + -1x3 + z3)) = 0
(-1xz3 + 5x2z2 + -6x3z + 1x4 + (-5xz2 * 5z + 6x2z * 5z + -1x3 * 5z + z3 * 5z)) = 0
(-1xz3 + 5x2z2 + -6x3z + 1x4 + (-25xz3 + 30x2z2 + -5x3z + 5z4)) = 0

Reorder the terms:
(-1xz3 + -25xz3 + 5x2z2 + 30x2z2 + -6x3z + -5x3z + 1x4 + 5z4) = 0

Combine like terms: -1xz3 + -25xz3 = -26xz3
(-26xz3 + 5x2z2 + 30x2z2 + -6x3z + -5x3z + 1x4 + 5z4) = 0

Combine like terms: 5x2z2 + 30x2z2 = 35x2z2
(-26xz3 + 35x2z2 + -6x3z + -5x3z + 1x4 + 5z4) = 0

Combine like terms: -6x3z + -5x3z = -11x3z
(-26xz3 + 35x2z2 + -11x3z + 1x4 + 5z4) = 0

Solving
-26xz3 + 35x2z2 + -11x3z + 1x4 + 5z4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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