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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Ignore the factor 2.

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

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

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

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

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

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

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

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

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

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

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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