y^2(x+1)+12y(x+1)+27(x+1)=0

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Solution for y^2(x+1)+12y(x+1)+27(x+1)=0 equation: 


Simplifying
y2(x + 1) + 12y(x + 1) + 27(x + 1) = 0

Reorder the terms:
y2(1 + x) + 12y(x + 1) + 27(x + 1) = 0
(1 * y2 + x * y2) + 12y(x + 1) + 27(x + 1) = 0

Reorder the terms:
(xy2 + 1y2) + 12y(x + 1) + 27(x + 1) = 0
(xy2 + 1y2) + 12y(x + 1) + 27(x + 1) = 0

Reorder the terms:
xy2 + 1y2 + 12y(1 + x) + 27(x + 1) = 0
xy2 + 1y2 + (1 * 12y + x * 12y) + 27(x + 1) = 0

Reorder the terms:
xy2 + 1y2 + (12xy + 12y) + 27(x + 1) = 0
xy2 + 1y2 + (12xy + 12y) + 27(x + 1) = 0

Reorder the terms:
xy2 + 1y2 + 12xy + 12y + 27(1 + x) = 0
xy2 + 1y2 + 12xy + 12y + (1 * 27 + x * 27) = 0
xy2 + 1y2 + 12xy + 12y + (27 + 27x) = 0

Reorder the terms:
27 + 27x + 12xy + xy2 + 12y + 1y2 = 0

Solving
27 + 27x + 12xy + xy2 + 12y + 1y2 = 0

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + 27x + 12xy + xy2 + 12y + -27 + 1y2 = 0 + -27

Reorder the terms:
27 + -27 + 27x + 12xy + xy2 + 12y + 1y2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 27x + 12xy + xy2 + 12y + 1y2 = 0 + -27
27x + 12xy + xy2 + 12y + 1y2 = 0 + -27

Combine like terms: 0 + -27 = -27
27x + 12xy + xy2 + 12y + 1y2 = -27

Add '-12y' to each side of the equation.
27x + 12xy + xy2 + 12y + -12y + 1y2 = -27 + -12y

Combine like terms: 12y + -12y = 0
27x + 12xy + xy2 + 0 + 1y2 = -27 + -12y
27x + 12xy + xy2 + 1y2 = -27 + -12y

Add '-1y2' to each side of the equation.
27x + 12xy + xy2 + 1y2 + -1y2 = -27 + -12y + -1y2

Combine like terms: 1y2 + -1y2 = 0
27x + 12xy + xy2 + 0 = -27 + -12y + -1y2
27x + 12xy + xy2 = -27 + -12y + -1y2

Reorder the terms:
27 + 27x + 12xy + xy2 + 12y + y2 = -27 + -12y + -1y2 + 27 + 12y + y2

Reorder the terms:
27 + 27x + 12xy + xy2 + 12y + y2 = -27 + 27 + -12y + 12y + -1y2 + y2

Combine like terms: -27 + 27 = 0
27 + 27x + 12xy + xy2 + 12y + y2 = 0 + -12y + 12y + -1y2 + y2
27 + 27x + 12xy + xy2 + 12y + y2 = -12y + 12y + -1y2 + y2

Combine like terms: -12y + 12y = 0
27 + 27x + 12xy + xy2 + 12y + y2 = 0 + -1y2 + y2
27 + 27x + 12xy + xy2 + 12y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
27 + 27x + 12xy + xy2 + 12y + y2 = 0

The solution to this equation could not be determined.

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