12(x+2)y^2+160(x+2)y-112(x+2)=0

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Solution for 12(x+2)y^2+160(x+2)y-112(x+2)=0 equation: 


Simplifying
12(x + 2) * y2 + 160(x + 2) * y + -112(x + 2) = 0

Reorder the terms:
12(2 + x) * y2 + 160(x + 2) * y + -112(x + 2) = 0

Reorder the terms for easier multiplication:
12y2(2 + x) + 160(x + 2) * y + -112(x + 2) = 0
(2 * 12y2 + x * 12y2) + 160(x + 2) * y + -112(x + 2) = 0

Reorder the terms:
(12xy2 + 24y2) + 160(x + 2) * y + -112(x + 2) = 0
(12xy2 + 24y2) + 160(x + 2) * y + -112(x + 2) = 0

Reorder the terms:
12xy2 + 24y2 + 160(2 + x) * y + -112(x + 2) = 0

Reorder the terms for easier multiplication:
12xy2 + 24y2 + 160y(2 + x) + -112(x + 2) = 0
12xy2 + 24y2 + (2 * 160y + x * 160y) + -112(x + 2) = 0

Reorder the terms:
12xy2 + 24y2 + (160xy + 320y) + -112(x + 2) = 0
12xy2 + 24y2 + (160xy + 320y) + -112(x + 2) = 0

Reorder the terms:
12xy2 + 24y2 + 160xy + 320y + -112(2 + x) = 0
12xy2 + 24y2 + 160xy + 320y + (2 * -112 + x * -112) = 0
12xy2 + 24y2 + 160xy + 320y + (-224 + -112x) = 0

Reorder the terms:
-224 + -112x + 160xy + 12xy2 + 320y + 24y2 = 0

Solving
-224 + -112x + 160xy + 12xy2 + 320y + 24y2 = 0

Solving for variable 'x'.

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

Add '224' to each side of the equation.
-224 + -112x + 160xy + 12xy2 + 320y + 224 + 24y2 = 0 + 224

Reorder the terms:
-224 + 224 + -112x + 160xy + 12xy2 + 320y + 24y2 = 0 + 224

Combine like terms: -224 + 224 = 0
0 + -112x + 160xy + 12xy2 + 320y + 24y2 = 0 + 224
-112x + 160xy + 12xy2 + 320y + 24y2 = 0 + 224

Combine like terms: 0 + 224 = 224
-112x + 160xy + 12xy2 + 320y + 24y2 = 224

Add '-320y' to each side of the equation.
-112x + 160xy + 12xy2 + 320y + -320y + 24y2 = 224 + -320y

Combine like terms: 320y + -320y = 0
-112x + 160xy + 12xy2 + 0 + 24y2 = 224 + -320y
-112x + 160xy + 12xy2 + 24y2 = 224 + -320y

Add '-24y2' to each side of the equation.
-112x + 160xy + 12xy2 + 24y2 + -24y2 = 224 + -320y + -24y2

Combine like terms: 24y2 + -24y2 = 0
-112x + 160xy + 12xy2 + 0 = 224 + -320y + -24y2
-112x + 160xy + 12xy2 = 224 + -320y + -24y2

Reorder the terms:
-224 + -112x + 160xy + 12xy2 + 320y + 24y2 = 224 + -320y + -24y2 + -224 + 320y + 24y2

Reorder the terms:
-224 + -112x + 160xy + 12xy2 + 320y + 24y2 = 224 + -224 + -320y + 320y + -24y2 + 24y2

Combine like terms: 224 + -224 = 0
-224 + -112x + 160xy + 12xy2 + 320y + 24y2 = 0 + -320y + 320y + -24y2 + 24y2
-224 + -112x + 160xy + 12xy2 + 320y + 24y2 = -320y + 320y + -24y2 + 24y2

Combine like terms: -320y + 320y = 0
-224 + -112x + 160xy + 12xy2 + 320y + 24y2 = 0 + -24y2 + 24y2
-224 + -112x + 160xy + 12xy2 + 320y + 24y2 = -24y2 + 24y2

Combine like terms: -24y2 + 24y2 = 0
-224 + -112x + 160xy + 12xy2 + 320y + 24y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-56 + -28x + 40xy + 3xy2 + 80y + 6y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-56 + -28x + 40xy + 3xy2 + 80y + 6y2)' equal to zero and attempt to solve:

Simplifying
-56 + -28x + 40xy + 3xy2 + 80y + 6y2 = 0

Solving
-56 + -28x + 40xy + 3xy2 + 80y + 6y2 = 0

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

Add '56' to each side of the equation.
-56 + -28x + 40xy + 3xy2 + 80y + 56 + 6y2 = 0 + 56

Reorder the terms:
-56 + 56 + -28x + 40xy + 3xy2 + 80y + 6y2 = 0 + 56

Combine like terms: -56 + 56 = 0
0 + -28x + 40xy + 3xy2 + 80y + 6y2 = 0 + 56
-28x + 40xy + 3xy2 + 80y + 6y2 = 0 + 56

Combine like terms: 0 + 56 = 56
-28x + 40xy + 3xy2 + 80y + 6y2 = 56

Add '-80y' to each side of the equation.
-28x + 40xy + 3xy2 + 80y + -80y + 6y2 = 56 + -80y

Combine like terms: 80y + -80y = 0
-28x + 40xy + 3xy2 + 0 + 6y2 = 56 + -80y
-28x + 40xy + 3xy2 + 6y2 = 56 + -80y

Add '-6y2' to each side of the equation.
-28x + 40xy + 3xy2 + 6y2 + -6y2 = 56 + -80y + -6y2

Combine like terms: 6y2 + -6y2 = 0
-28x + 40xy + 3xy2 + 0 = 56 + -80y + -6y2
-28x + 40xy + 3xy2 = 56 + -80y + -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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