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

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


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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

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

Divide each side by '-3'.
x = 1 + 2y + 0.3333333333y2

Simplifying
x = 1 + 2y + 0.3333333333y2

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