2xy+6xz=0

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Solution for 2xy+6xz=0 equation: 


Simplifying
2xy + 6xz = 0

Solving
2xy + 6xz = 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), '2x'.
2x(y + 3z) = 0

Ignore the factor 2.

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 '(y + 3z)' equal to zero and attempt to solve:

Simplifying
y + 3z = 0

Solving
y + 3z = 0

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

Add '-1y' to each side of the equation.
y + -1y + 3z = 0 + -1y

Combine like terms: y + -1y = 0
0 + 3z = 0 + -1y
3z = 0 + -1y
Remove the zero:
3z = -1y

Add '-3z' to each side of the equation.
3z + -3z = -1y + -3z

Combine like terms: 3z + -3z = 0
0 = -1y + -3z

Simplifying
0 = -1y + -3z

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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