(-x)(z^3-7z^2x+6zx^2-x^3)=

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Solution for (-x)(z^3-7z^2x+6zx^2-x^3)= equation: 


Simplifying
(-1x)(z3 + -7z2x + 6zx2 + -1x3) = 0

Remove parenthesis around (-1x)
-1x(z3 + -7z2x + 6zx2 + -1x3) = 0

Reorder the terms:
-1x(-7xz2 + 6x2z + -1x3 + z3) = 0
(-7xz2 * -1x + 6x2z * -1x + -1x3 * -1x + z3 * -1x) = 0

Reorder the terms:
(-1xz3 + 7x2z2 + -6x3z + 1x4) = 0
(-1xz3 + 7x2z2 + -6x3z + 1x4) = 0

Solving
-1xz3 + 7x2z2 + -6x3z + 1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1z3 + 7xz2 + -6x2z + x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-1z3 + 7xz2 + -6x2z + x3)' equal to zero and attempt to solve:

Simplifying
-1z3 + 7xz2 + -6x2z + x3 = 0

Reorder the terms:
7xz2 + -6x2z + x3 + -1z3 = 0

Solving
7xz2 + -6x2z + x3 + -1z3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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