3x(y+9)=

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Solution for 3x(y+9)= equation: 


Simplifying
3x(y + 9) = 0

Reorder the terms:
3x(9 + y) = 0
(9 * 3x + y * 3x) = 0
(27x + 3xy) = 0

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

Simplifying
9 + y = 0

Solving
9 + y = 0

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

Add '-9' to each side of the equation.
9 + -9 + y = 0 + -9

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

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

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

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

Simplifying
0 = -9 + -1y

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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