=3xy(1)+3xy(3y)+3xy(2x)

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Solution for =3xy(1)+3xy(3y)+3xy(2x) equation: 


Simplifying
0 = 3xy(1) + 3xy(3y) + 3xy(2x)

Reorder the terms for easier multiplication:
0 = 3 * 1xy + 3xy(3y) + 3xy(2x)

Multiply 3 * 1
0 = 3xy + 3xy(3y) + 3xy(2x)

Remove parenthesis around (3y)
0 = 3xy + 3xy * 3y + 3xy(2x)

Reorder the terms for easier multiplication:
0 = 3xy + 3 * 3xy * y + 3xy(2x)

Multiply 3 * 3
0 = 3xy + 9xy * y + 3xy(2x)

Multiply xy * y
0 = 3xy + 9xy2 + 3xy(2x)

Remove parenthesis around (2x)
0 = 3xy + 9xy2 + 3xy * 2x

Reorder the terms for easier multiplication:
0 = 3xy + 9xy2 + 3 * 2xy * x

Multiply 3 * 2
0 = 3xy + 9xy2 + 6xy * x

Multiply xy * x
0 = 3xy + 9xy2 + 6x2y

Solving
0 = 3xy + 9xy2 + 6x2y

Solving for variable 'x'.
Remove the zero:
-3xy + -9xy2 + -6x2y = 3xy + 9xy2 + 6x2y + -3xy + -9xy2 + -6x2y

Reorder the terms:
-3xy + -9xy2 + -6x2y = 3xy + -3xy + 9xy2 + -9xy2 + 6x2y + -6x2y

Combine like terms: 3xy + -3xy = 0
-3xy + -9xy2 + -6x2y = 0 + 9xy2 + -9xy2 + 6x2y + -6x2y
-3xy + -9xy2 + -6x2y = 9xy2 + -9xy2 + 6x2y + -6x2y

Combine like terms: 9xy2 + -9xy2 = 0
-3xy + -9xy2 + -6x2y = 0 + 6x2y + -6x2y
-3xy + -9xy2 + -6x2y = 6x2y + -6x2y

Combine like terms: 6x2y + -6x2y = 0
-3xy + -9xy2 + -6x2y = 0

Factor out the Greatest Common Factor (GCF), '-3xy'.
-3xy(1 + 3y + 2x) = 0

Ignore the factor -3.

Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(1 + 3y + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 3y + 2x = 0

Reorder the terms:
1 + 2x + 3y = 0

Solving
1 + 2x + 3y = 0

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

Add '-1' to each side of the equation.
1 + 2x + -1 + 3y = 0 + -1

Reorder the terms:
1 + -1 + 2x + 3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x + 3y = 0 + -1
2x + 3y = 0 + -1

Combine like terms: 0 + -1 = -1
2x + 3y = -1

Add '-3y' to each side of the equation.
2x + 3y + -3y = -1 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = -1 + -3y
2x = -1 + -3y

Divide each side by '2'.
x = -0.5 + -1.5y

Simplifying
x = -0.5 + -1.5y
Solution
x = {-0.5 + -1.5y}

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