12(x+2)y^2+64(x+2)y-48(x+2)=0

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Solution for 12(x+2)y^2+64(x+2)y-48(x+2)=0 equation: 


Simplifying
12(x + 2) * y2 + 64(x + 2) * y + -48(x + 2) = 0

Reorder the terms:
12(2 + x) * y2 + 64(x + 2) * y + -48(x + 2) = 0

Reorder the terms for easier multiplication:
12y2(2 + x) + 64(x + 2) * y + -48(x + 2) = 0
(2 * 12y2 + x * 12y2) + 64(x + 2) * y + -48(x + 2) = 0

Reorder the terms:
(12xy2 + 24y2) + 64(x + 2) * y + -48(x + 2) = 0
(12xy2 + 24y2) + 64(x + 2) * y + -48(x + 2) = 0

Reorder the terms:
12xy2 + 24y2 + 64(2 + x) * y + -48(x + 2) = 0

Reorder the terms for easier multiplication:
12xy2 + 24y2 + 64y(2 + x) + -48(x + 2) = 0
12xy2 + 24y2 + (2 * 64y + x * 64y) + -48(x + 2) = 0

Reorder the terms:
12xy2 + 24y2 + (64xy + 128y) + -48(x + 2) = 0
12xy2 + 24y2 + (64xy + 128y) + -48(x + 2) = 0

Reorder the terms:
12xy2 + 24y2 + 64xy + 128y + -48(2 + x) = 0
12xy2 + 24y2 + 64xy + 128y + (2 * -48 + x * -48) = 0
12xy2 + 24y2 + 64xy + 128y + (-96 + -48x) = 0

Reorder the terms:
-96 + -48x + 64xy + 12xy2 + 128y + 24y2 = 0

Solving
-96 + -48x + 64xy + 12xy2 + 128y + 24y2 = 0

Solving for variable 'x'.

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

Add '96' to each side of the equation.
-96 + -48x + 64xy + 12xy2 + 128y + 96 + 24y2 = 0 + 96

Reorder the terms:
-96 + 96 + -48x + 64xy + 12xy2 + 128y + 24y2 = 0 + 96

Combine like terms: -96 + 96 = 0
0 + -48x + 64xy + 12xy2 + 128y + 24y2 = 0 + 96
-48x + 64xy + 12xy2 + 128y + 24y2 = 0 + 96

Combine like terms: 0 + 96 = 96
-48x + 64xy + 12xy2 + 128y + 24y2 = 96

Add '-128y' to each side of the equation.
-48x + 64xy + 12xy2 + 128y + -128y + 24y2 = 96 + -128y

Combine like terms: 128y + -128y = 0
-48x + 64xy + 12xy2 + 0 + 24y2 = 96 + -128y
-48x + 64xy + 12xy2 + 24y2 = 96 + -128y

Add '-24y2' to each side of the equation.
-48x + 64xy + 12xy2 + 24y2 + -24y2 = 96 + -128y + -24y2

Combine like terms: 24y2 + -24y2 = 0
-48x + 64xy + 12xy2 + 0 = 96 + -128y + -24y2
-48x + 64xy + 12xy2 = 96 + -128y + -24y2

Reorder the terms:
-96 + -48x + 64xy + 12xy2 + 128y + 24y2 = 96 + -128y + -24y2 + -96 + 128y + 24y2

Reorder the terms:
-96 + -48x + 64xy + 12xy2 + 128y + 24y2 = 96 + -96 + -128y + 128y + -24y2 + 24y2

Combine like terms: 96 + -96 = 0
-96 + -48x + 64xy + 12xy2 + 128y + 24y2 = 0 + -128y + 128y + -24y2 + 24y2
-96 + -48x + 64xy + 12xy2 + 128y + 24y2 = -128y + 128y + -24y2 + 24y2

Combine like terms: -128y + 128y = 0
-96 + -48x + 64xy + 12xy2 + 128y + 24y2 = 0 + -24y2 + 24y2
-96 + -48x + 64xy + 12xy2 + 128y + 24y2 = -24y2 + 24y2

Combine like terms: -24y2 + 24y2 = 0
-96 + -48x + 64xy + 12xy2 + 128y + 24y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-24 + -12x + 16xy + 3xy2 + 32y + 6y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-24 + -12x + 16xy + 3xy2 + 32y + 6y2)' equal to zero and attempt to solve:

Simplifying
-24 + -12x + 16xy + 3xy2 + 32y + 6y2 = 0

Solving
-24 + -12x + 16xy + 3xy2 + 32y + 6y2 = 0

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

Add '24' to each side of the equation.
-24 + -12x + 16xy + 3xy2 + 32y + 24 + 6y2 = 0 + 24

Reorder the terms:
-24 + 24 + -12x + 16xy + 3xy2 + 32y + 6y2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -12x + 16xy + 3xy2 + 32y + 6y2 = 0 + 24
-12x + 16xy + 3xy2 + 32y + 6y2 = 0 + 24

Combine like terms: 0 + 24 = 24
-12x + 16xy + 3xy2 + 32y + 6y2 = 24

Add '-32y' to each side of the equation.
-12x + 16xy + 3xy2 + 32y + -32y + 6y2 = 24 + -32y

Combine like terms: 32y + -32y = 0
-12x + 16xy + 3xy2 + 0 + 6y2 = 24 + -32y
-12x + 16xy + 3xy2 + 6y2 = 24 + -32y

Add '-6y2' to each side of the equation.
-12x + 16xy + 3xy2 + 6y2 + -6y2 = 24 + -32y + -6y2

Combine like terms: 6y2 + -6y2 = 0
-12x + 16xy + 3xy2 + 0 = 24 + -32y + -6y2
-12x + 16xy + 3xy2 = 24 + -32y + -6y2

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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