7xy-2xz+4xz-12xyz+2zx=0

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Solution for 7xy-2xz+4xz-12xyz+2zx=0 equation: 


Simplifying
7xy + -2xz + 4xz + -12xyz + 2zx = 0

Reorder the terms:
7xy + -12xyz + -2xz + 4xz + 2xz = 0

Combine like terms: -2xz + 4xz = 2xz
7xy + -12xyz + 2xz + 2xz = 0

Combine like terms: 2xz + 2xz = 4xz
7xy + -12xyz + 4xz = 0

Solving
7xy + -12xyz + 4xz = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(7y + -12yz + 4z) = 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 '(7y + -12yz + 4z)' equal to zero and attempt to solve:

Simplifying
7y + -12yz + 4z = 0

Solving
7y + -12yz + 4z = 0

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

Add '-7y' to each side of the equation.
7y + -12yz + -7y + 4z = 0 + -7y

Reorder the terms:
7y + -7y + -12yz + 4z = 0 + -7y

Combine like terms: 7y + -7y = 0
0 + -12yz + 4z = 0 + -7y
-12yz + 4z = 0 + -7y
Remove the zero:
-12yz + 4z = -7y

Add '12yz' to each side of the equation.
-12yz + 12yz + 4z = -7y + 12yz

Combine like terms: -12yz + 12yz = 0
0 + 4z = -7y + 12yz
4z = -7y + 12yz

Add '-4z' to each side of the equation.
4z + -4z = -7y + 12yz + -4z

Combine like terms: 4z + -4z = 0
0 = -7y + 12yz + -4z

Simplifying
0 = -7y + 12yz + -4z

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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