3y^2+3y+2x+2=0

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Solution for 3y^2+3y+2x+2=0 equation: 


Simplifying
3y2 + 3y + 2x + 2 = 0

Reorder the terms:
2 + 2x + 3y + 3y2 = 0

Solving
2 + 2x + 3y + 3y2 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 2x + 3y + -2 + 3y2 = 0 + -2

Reorder the terms:
2 + -2 + 2x + 3y + 3y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2x + 3y + 3y2 = 0 + -2
2x + 3y + 3y2 = 0 + -2

Combine like terms: 0 + -2 = -2
2x + 3y + 3y2 = -2

Add '-3y' to each side of the equation.
2x + 3y + -3y + 3y2 = -2 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 + 3y2 = -2 + -3y
2x + 3y2 = -2 + -3y

Add '-3y2' to each side of the equation.
2x + 3y2 + -3y2 = -2 + -3y + -3y2

Combine like terms: 3y2 + -3y2 = 0
2x + 0 = -2 + -3y + -3y2
2x = -2 + -3y + -3y2

Divide each side by '2'.
x = -1 + -1.5y + -1.5y2

Simplifying
x = -1 + -1.5y + -1.5y2

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