3x(2z-3y)=

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Solution for 3x(2z-3y)= equation: 


Simplifying
3x(2z + -3y) = 0

Reorder the terms:
3x(-3y + 2z) = 0
(-3y * 3x + 2z * 3x) = 0
(-9xy + 6xz) = 0

Solving
-9xy + 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), '3x'.
3x(-3y + 2z) = 0

Ignore the factor 3.

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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