y^2+2y+3x-6=0

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Solution for y^2+2y+3x-6=0 equation:


Simplifying
y2 + 2y + 3x + -6 = 0

Reorder the terms:
-6 + 3x + 2y + y2 = 0

Solving
-6 + 3x + 2y + y2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 3x + 2y + 6 + y2 = 0 + 6

Reorder the terms:
-6 + 6 + 3x + 2y + y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3x + 2y + y2 = 0 + 6
3x + 2y + y2 = 0 + 6

Combine like terms: 0 + 6 = 6
3x + 2y + y2 = 6

Add '-2y' to each side of the equation.
3x + 2y + -2y + y2 = 6 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 + y2 = 6 + -2y
3x + y2 = 6 + -2y

Add '-1y2' to each side of the equation.
3x + y2 + -1y2 = 6 + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
3x + 0 = 6 + -2y + -1y2
3x = 6 + -2y + -1y2

Divide each side by '3'.
x = 2 + -0.6666666667y + -0.3333333333y2

Simplifying
x = 2 + -0.6666666667y + -0.3333333333y2

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