4x+2y(3x-6)=8

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Solution for 4x+2y(3x-6)=8 equation: 


Simplifying
4x + 2y(3x + -6) = 8

Reorder the terms:
4x + 2y(-6 + 3x) = 8
4x + (-6 * 2y + 3x * 2y) = 8

Reorder the terms:
4x + (6xy + -12y) = 8
4x + (6xy + -12y) = 8

Solving
4x + 6xy + -12y = 8

Solving for variable 'x'.

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

Add '12y' to each side of the equation.
4x + 6xy + -12y + 12y = 8 + 12y

Combine like terms: -12y + 12y = 0
4x + 6xy + 0 = 8 + 12y
4x + 6xy = 8 + 12y

Reorder the terms:
-8 + 4x + 6xy + -12y = 8 + 12y + -8 + -12y

Reorder the terms:
-8 + 4x + 6xy + -12y = 8 + -8 + 12y + -12y

Combine like terms: 8 + -8 = 0
-8 + 4x + 6xy + -12y = 0 + 12y + -12y
-8 + 4x + 6xy + -12y = 12y + -12y

Combine like terms: 12y + -12y = 0
-8 + 4x + 6xy + -12y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 2x + 3xy + -6y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + 2x + 3xy + -6y)' equal to zero and attempt to solve:

Simplifying
-4 + 2x + 3xy + -6y = 0

Solving
-4 + 2x + 3xy + -6y = 0

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

Add '4' to each side of the equation.
-4 + 2x + 3xy + 4 + -6y = 0 + 4

Reorder the terms:
-4 + 4 + 2x + 3xy + -6y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2x + 3xy + -6y = 0 + 4
2x + 3xy + -6y = 0 + 4

Combine like terms: 0 + 4 = 4
2x + 3xy + -6y = 4

Add '6y' to each side of the equation.
2x + 3xy + -6y + 6y = 4 + 6y

Combine like terms: -6y + 6y = 0
2x + 3xy + 0 = 4 + 6y
2x + 3xy = 4 + 6y

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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