3yx+2zx=0

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Solution for 3yx+2zx=0 equation: 


Simplifying
3yx + 2zx = 0

Solving
3xy + 2xz = 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(3y + 2z) = 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 '(3y + 2z)' equal to zero and attempt to solve:

Simplifying
3y + 2z = 0

Solving
3y + 2z = 0

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

Add '-3y' to each side of the equation.
3y + -3y + 2z = 0 + -3y

Combine like terms: 3y + -3y = 0
0 + 2z = 0 + -3y
2z = 0 + -3y
Remove the zero:
2z = -3y

Add '-2z' to each side of the equation.
2z + -2z = -3y + -2z

Combine like terms: 2z + -2z = 0
0 = -3y + -2z

Simplifying
0 = -3y + -2z

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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