3x(y-9z)=

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Solution for 3x(y-9z)= equation: 


Simplifying
3x(y + -9z) = 0
(y * 3x + -9z * 3x) = 0
(3xy + -27xz) = 0

Solving
3xy + -27xz = 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(y + -9z) = 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 '(y + -9z)' equal to zero and attempt to solve:

Simplifying
y + -9z = 0

Solving
y + -9z = 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 + -9z = 0 + -1y

Combine like terms: y + -1y = 0
0 + -9z = 0 + -1y
-9z = 0 + -1y
Remove the zero:
-9z = -1y

Add '9z' to each side of the equation.
-9z + 9z = -1y + 9z

Combine like terms: -9z + 9z = 0
0 = -1y + 9z

Simplifying
0 = -1y + 9z

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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