(X+y)(9x*2)=0

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Solution for (X+y)(9x*2)=0 equation: 


Simplifying
(X + y)(9x * 2) = 0

Reorder the terms for easier multiplication:
(X + y)(9 * 2x) = 0

Multiply 9 * 2
(X + y)(18x) = 0

Remove parenthesis around (18x)
(X + y) * 18x = 0

Reorder the terms for easier multiplication:
18x(X + y) = 0
(X * 18x + y * 18x) = 0
(18xX + 18xy) = 0

Solving
18xX + 18xy = 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), '18x'.
18x(X + y) = 0

Ignore the factor 18.

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

Simplifying
X + y = 0

Solving
X + y = 0

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

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

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

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

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

Simplifying
0 = -1X + -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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