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

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


Simplifying
2x + -3y(6x + 2y) = 8
2x + (6x * -3y + 2y * -3y) = 8
2x + (-18xy + -6y2) = 8

Solving
2x + -18xy + -6y2 = 8

Solving for variable 'x'.

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

Add '6y2' to each side of the equation.
2x + -18xy + -6y2 + 6y2 = 8 + 6y2

Combine like terms: -6y2 + 6y2 = 0
2x + -18xy + 0 = 8 + 6y2
2x + -18xy = 8 + 6y2

Reorder the terms:
-8 + 2x + -18xy + -6y2 = 8 + 6y2 + -8 + -6y2

Reorder the terms:
-8 + 2x + -18xy + -6y2 = 8 + -8 + 6y2 + -6y2

Combine like terms: 8 + -8 = 0
-8 + 2x + -18xy + -6y2 = 0 + 6y2 + -6y2
-8 + 2x + -18xy + -6y2 = 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
-8 + 2x + -18xy + -6y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + x + -9xy + -3y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + x + -9xy + -3y2)' equal to zero and attempt to solve:

Simplifying
-4 + x + -9xy + -3y2 = 0

Solving
-4 + x + -9xy + -3y2 = 0

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

Add '4' to each side of the equation.
-4 + x + -9xy + 4 + -3y2 = 0 + 4

Reorder the terms:
-4 + 4 + x + -9xy + -3y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x + -9xy + -3y2 = 0 + 4
x + -9xy + -3y2 = 0 + 4

Combine like terms: 0 + 4 = 4
x + -9xy + -3y2 = 4

Add '3y2' to each side of the equation.
x + -9xy + -3y2 + 3y2 = 4 + 3y2

Combine like terms: -3y2 + 3y2 = 0
x + -9xy + 0 = 4 + 3y2
x + -9xy = 4 + 3y2

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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