12(x+3)y^2+112(x+3)y-80(x+3)=

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Solution for 12(x+3)y^2+112(x+3)y-80(x+3)= equation:


Simplifying
12(x + 3) * y2 + 112(x + 3) * y + -80(x + 3) = 0

Reorder the terms:
12(3 + x) * y2 + 112(x + 3) * y + -80(x + 3) = 0

Reorder the terms for easier multiplication:
12y2(3 + x) + 112(x + 3) * y + -80(x + 3) = 0
(3 * 12y2 + x * 12y2) + 112(x + 3) * y + -80(x + 3) = 0

Reorder the terms:
(12xy2 + 36y2) + 112(x + 3) * y + -80(x + 3) = 0
(12xy2 + 36y2) + 112(x + 3) * y + -80(x + 3) = 0

Reorder the terms:
12xy2 + 36y2 + 112(3 + x) * y + -80(x + 3) = 0

Reorder the terms for easier multiplication:
12xy2 + 36y2 + 112y(3 + x) + -80(x + 3) = 0
12xy2 + 36y2 + (3 * 112y + x * 112y) + -80(x + 3) = 0

Reorder the terms:
12xy2 + 36y2 + (112xy + 336y) + -80(x + 3) = 0
12xy2 + 36y2 + (112xy + 336y) + -80(x + 3) = 0

Reorder the terms:
12xy2 + 36y2 + 112xy + 336y + -80(3 + x) = 0
12xy2 + 36y2 + 112xy + 336y + (3 * -80 + x * -80) = 0
12xy2 + 36y2 + 112xy + 336y + (-240 + -80x) = 0

Reorder the terms:
-240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0

Solving
-240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0

Solving for variable 'x'.

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

Add '240' to each side of the equation.
-240 + -80x + 112xy + 12xy2 + 336y + 240 + 36y2 = 0 + 240

Reorder the terms:
-240 + 240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 + 240

Combine like terms: -240 + 240 = 0
0 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 + 240
-80x + 112xy + 12xy2 + 336y + 36y2 = 0 + 240

Combine like terms: 0 + 240 = 240
-80x + 112xy + 12xy2 + 336y + 36y2 = 240

Add '-336y' to each side of the equation.
-80x + 112xy + 12xy2 + 336y + -336y + 36y2 = 240 + -336y

Combine like terms: 336y + -336y = 0
-80x + 112xy + 12xy2 + 0 + 36y2 = 240 + -336y
-80x + 112xy + 12xy2 + 36y2 = 240 + -336y

Add '-36y2' to each side of the equation.
-80x + 112xy + 12xy2 + 36y2 + -36y2 = 240 + -336y + -36y2

Combine like terms: 36y2 + -36y2 = 0
-80x + 112xy + 12xy2 + 0 = 240 + -336y + -36y2
-80x + 112xy + 12xy2 = 240 + -336y + -36y2

Reorder the terms:
-240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 240 + -336y + -36y2 + -240 + 336y + 36y2

Reorder the terms:
-240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 240 + -240 + -336y + 336y + -36y2 + 36y2

Combine like terms: 240 + -240 = 0
-240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 + -336y + 336y + -36y2 + 36y2
-240 + -80x + 112xy + 12xy2 + 336y + 36y2 = -336y + 336y + -36y2 + 36y2

Combine like terms: -336y + 336y = 0
-240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0 + -36y2 + 36y2
-240 + -80x + 112xy + 12xy2 + 336y + 36y2 = -36y2 + 36y2

Combine like terms: -36y2 + 36y2 = 0
-240 + -80x + 112xy + 12xy2 + 336y + 36y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-60 + -20x + 28xy + 3xy2 + 84y + 9y2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-60 + -20x + 28xy + 3xy2 + 84y + 9y2)' equal to zero and attempt to solve: Simplifying -60 + -20x + 28xy + 3xy2 + 84y + 9y2 = 0 Solving -60 + -20x + 28xy + 3xy2 + 84y + 9y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -20x + 28xy + 3xy2 + 84y + 60 + 9y2 = 0 + 60 Reorder the terms: -60 + 60 + -20x + 28xy + 3xy2 + 84y + 9y2 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -20x + 28xy + 3xy2 + 84y + 9y2 = 0 + 60 -20x + 28xy + 3xy2 + 84y + 9y2 = 0 + 60 Combine like terms: 0 + 60 = 60 -20x + 28xy + 3xy2 + 84y + 9y2 = 60 Add '-84y' to each side of the equation. -20x + 28xy + 3xy2 + 84y + -84y + 9y2 = 60 + -84y Combine like terms: 84y + -84y = 0 -20x + 28xy + 3xy2 + 0 + 9y2 = 60 + -84y -20x + 28xy + 3xy2 + 9y2 = 60 + -84y Add '-9y2' to each side of the equation. -20x + 28xy + 3xy2 + 9y2 + -9y2 = 60 + -84y + -9y2 Combine like terms: 9y2 + -9y2 = 0 -20x + 28xy + 3xy2 + 0 = 60 + -84y + -9y2 -20x + 28xy + 3xy2 = 60 + -84y + -9y2 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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