(3x+7y)+2y=3x(7y+2y)

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Solution for (3x+7y)+2y=3x(7y+2y) equation: 


Simplifying
(3x + 7y) + 2y = 3x(7y + 2y)

Remove parenthesis around (3x + 7y)
3x + 7y + 2y = 3x(7y + 2y)

Combine like terms: 7y + 2y = 9y
3x + 9y = 3x(7y + 2y)

Combine like terms: 7y + 2y = 9y
3x + 9y = 3x(9y)

Remove parenthesis around (9y)
3x + 9y = 3x * 9y

Reorder the terms for easier multiplication:
3x + 9y = 3 * 9x * y

Multiply 3 * 9
3x + 9y = 27x * y

Multiply x * y
3x + 9y = 27xy

Solving
3x + 9y = 27xy

Solving for variable 'x'.

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

Add '-27xy' to each side of the equation.
3x + -27xy + 9y = 27xy + -27xy

Combine like terms: 27xy + -27xy = 0
3x + -27xy + 9y = 0

Add '-9y' to each side of the equation.
3x + -27xy + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
3x + -27xy + 0 = 0 + -9y
3x + -27xy = 0 + -9y
Remove the zero:
3x + -27xy = -9y

Combine like terms: -9y + 9y = 0
3x + -27xy + 9y = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(x + -9xy + 3y) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(x + -9xy + 3y)' equal to zero and attempt to solve:

Simplifying
x + -9xy + 3y = 0

Solving
x + -9xy + 3y = 0

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

Add '-3y' to each side of the equation.
x + -9xy + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
x + -9xy + 0 = 0 + -3y
x + -9xy = 0 + -3y
Remove the zero:
x + -9xy = -3y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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