y^2(x+1)+9y(x+1)+20(x+1)=0

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Solution for y^2(x+1)+9y(x+1)+20(x+1)=0 equation: 


Simplifying
y2(x + 1) + 9y(x + 1) + 20(x + 1) = 0

Reorder the terms:
y2(1 + x) + 9y(x + 1) + 20(x + 1) = 0
(1 * y2 + x * y2) + 9y(x + 1) + 20(x + 1) = 0

Reorder the terms:
(xy2 + 1y2) + 9y(x + 1) + 20(x + 1) = 0
(xy2 + 1y2) + 9y(x + 1) + 20(x + 1) = 0

Reorder the terms:
xy2 + 1y2 + 9y(1 + x) + 20(x + 1) = 0
xy2 + 1y2 + (1 * 9y + x * 9y) + 20(x + 1) = 0

Reorder the terms:
xy2 + 1y2 + (9xy + 9y) + 20(x + 1) = 0
xy2 + 1y2 + (9xy + 9y) + 20(x + 1) = 0

Reorder the terms:
xy2 + 1y2 + 9xy + 9y + 20(1 + x) = 0
xy2 + 1y2 + 9xy + 9y + (1 * 20 + x * 20) = 0
xy2 + 1y2 + 9xy + 9y + (20 + 20x) = 0

Reorder the terms:
20 + 20x + 9xy + xy2 + 9y + 1y2 = 0

Solving
20 + 20x + 9xy + xy2 + 9y + 1y2 = 0

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + 20x + 9xy + xy2 + 9y + -20 + 1y2 = 0 + -20

Reorder the terms:
20 + -20 + 20x + 9xy + xy2 + 9y + 1y2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 20x + 9xy + xy2 + 9y + 1y2 = 0 + -20
20x + 9xy + xy2 + 9y + 1y2 = 0 + -20

Combine like terms: 0 + -20 = -20
20x + 9xy + xy2 + 9y + 1y2 = -20

Add '-9y' to each side of the equation.
20x + 9xy + xy2 + 9y + -9y + 1y2 = -20 + -9y

Combine like terms: 9y + -9y = 0
20x + 9xy + xy2 + 0 + 1y2 = -20 + -9y
20x + 9xy + xy2 + 1y2 = -20 + -9y

Add '-1y2' to each side of the equation.
20x + 9xy + xy2 + 1y2 + -1y2 = -20 + -9y + -1y2

Combine like terms: 1y2 + -1y2 = 0
20x + 9xy + xy2 + 0 = -20 + -9y + -1y2
20x + 9xy + xy2 = -20 + -9y + -1y2

Reorder the terms:
20 + 20x + 9xy + xy2 + 9y + y2 = -20 + -9y + -1y2 + 20 + 9y + y2

Reorder the terms:
20 + 20x + 9xy + xy2 + 9y + y2 = -20 + 20 + -9y + 9y + -1y2 + y2

Combine like terms: -20 + 20 = 0
20 + 20x + 9xy + xy2 + 9y + y2 = 0 + -9y + 9y + -1y2 + y2
20 + 20x + 9xy + xy2 + 9y + y2 = -9y + 9y + -1y2 + y2

Combine like terms: -9y + 9y = 0
20 + 20x + 9xy + xy2 + 9y + y2 = 0 + -1y2 + y2
20 + 20x + 9xy + xy2 + 9y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
20 + 20x + 9xy + xy2 + 9y + y2 = 0

The solution to this equation could not be determined.

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