7xyz-3zyx+5zx^2-3x^2z=

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Solution for 7xyz-3zyx+5zx^2-3x^2z= equation: 


Simplifying
7xyz + -3zyx + 5zx2 + -3x2z = 0

Combine like terms: 7xyz + -3xyz = 4xyz
4xyz + 5x2z + -3x2z = 0

Combine like terms: 5x2z + -3x2z = 2x2z
4xyz + 2x2z = 0

Solving
4xyz + 2x2z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xz'.
2xz(2y + x) = 0

Ignore the factor 2.

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

Simplifying
xz = 0

Solving
xz = 0

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

Simplifying
xz = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2y + x)' equal to zero and attempt to solve:

Simplifying
2y + x = 0

Reorder the terms:
x + 2y = 0

Solving
x + 2y = 0

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

Add '-2y' to each side of the equation.
x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
x + 0 = 0 + -2y
x = 0 + -2y
Remove the zero:
x = -2y

Simplifying
x = -2y
Solution
x = {-2y}

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