15xy+3xy=45xy+3x

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Solution for 15xy+3xy=45xy+3x equation: 


Simplifying
15xy + 3xy = 45xy + 3x

Combine like terms: 15xy + 3xy = 18xy
18xy = 45xy + 3x

Reorder the terms:
18xy = 3x + 45xy

Solving
18xy = 3x + 45xy

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3x + 18xy = 3x + -3x + 45xy

Combine like terms: 3x + -3x = 0
-3x + 18xy = 0 + 45xy
-3x + 18xy = 45xy

Add '-45xy' to each side of the equation.
-3x + 18xy + -45xy = 45xy + -45xy

Combine like terms: 18xy + -45xy = -27xy
-3x + -27xy = 45xy + -45xy

Combine like terms: 45xy + -45xy = 0
-3x + -27xy = 0

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(1 + 9y) = 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 '(1 + 9y)' equal to zero and attempt to solve:

Simplifying
1 + 9y = 0

Solving
1 + 9y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 9y = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -9y

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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