-2x(6+3y)=3y+33

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Solution for -2x(6+3y)=3y+33 equation: 


Simplifying
-2x(6 + 3y) = 3y + 33
(6 * -2x + 3y * -2x) = 3y + 33
(-12x + -6xy) = 3y + 33

Reorder the terms:
-12x + -6xy = 33 + 3y

Solving
-12x + -6xy = 33 + 3y

Solving for variable 'x'.

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

Reorder the terms:
-33 + -12x + -6xy + -3y = 33 + 3y + -33 + -3y

Reorder the terms:
-33 + -12x + -6xy + -3y = 33 + -33 + 3y + -3y

Combine like terms: 33 + -33 = 0
-33 + -12x + -6xy + -3y = 0 + 3y + -3y
-33 + -12x + -6xy + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-33 + -12x + -6xy + -3y = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(11 + 4x + 2xy + y) = 0

Ignore the factor -3.

Subproblem 1
Set the factor '(11 + 4x + 2xy + y)' equal to zero and attempt to solve:

Simplifying
11 + 4x + 2xy + y = 0

Solving
11 + 4x + 2xy + y = 0

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

Add '-11' to each side of the equation.
11 + 4x + 2xy + -11 + y = 0 + -11

Reorder the terms:
11 + -11 + 4x + 2xy + y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4x + 2xy + y = 0 + -11
4x + 2xy + y = 0 + -11

Combine like terms: 0 + -11 = -11
4x + 2xy + y = -11

Add '-1y' to each side of the equation.
4x + 2xy + y + -1y = -11 + -1y

Combine like terms: y + -1y = 0
4x + 2xy + 0 = -11 + -1y
4x + 2xy = -11 + -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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