3y+x(180+3y)=180

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Solution for 3y+x(180+3y)=180 equation: 


Simplifying
3y + x(180 + 3y) = 180
3y + (180 * x + 3y * x) = 180
3y + (180x + 3xy) = 180

Reorder the terms:
180x + 3xy + 3y = 180

Solving
180x + 3xy + 3y = 180

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
180x + 3xy + 3y + -3y = 180 + -3y

Combine like terms: 3y + -3y = 0
180x + 3xy + 0 = 180 + -3y
180x + 3xy = 180 + -3y

Reorder the terms:
-180 + 180x + 3xy + 3y = 180 + -3y + -180 + 3y

Reorder the terms:
-180 + 180x + 3xy + 3y = 180 + -180 + -3y + 3y

Combine like terms: 180 + -180 = 0
-180 + 180x + 3xy + 3y = 0 + -3y + 3y
-180 + 180x + 3xy + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-180 + 180x + 3xy + 3y = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-60 + 60x + xy + y) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-60 + 60x + xy + y)' equal to zero and attempt to solve:

Simplifying
-60 + 60x + xy + y = 0

Solving
-60 + 60x + xy + y = 0

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

Add '60' to each side of the equation.
-60 + 60x + xy + 60 + y = 0 + 60

Reorder the terms:
-60 + 60 + 60x + xy + y = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 60x + xy + y = 0 + 60
60x + xy + y = 0 + 60

Combine like terms: 0 + 60 = 60
60x + xy + y = 60

Add '-1y' to each side of the equation.
60x + xy + y + -1y = 60 + -1y

Combine like terms: y + -1y = 0
60x + xy + 0 = 60 + -1y
60x + xy = 60 + -1y

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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