3x^2+3y^2+18x-12y+6m+3=0

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Solution for 3x^2+3y^2+18x-12y+6m+3=0 equation: 


Simplifying
3x2 + 3y2 + 18x + -12y + 6m + 3 = 0

Reorder the terms:
3 + 6m + 18x + 3x2 + -12y + 3y2 = 0

Solving
3 + 6m + 18x + 3x2 + -12y + 3y2 = 0

Solving for variable 'm'.

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

Add '-3' to each side of the equation.
3 + 6m + 18x + 3x2 + -12y + -3 + 3y2 = 0 + -3

Reorder the terms:
3 + -3 + 6m + 18x + 3x2 + -12y + 3y2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 6m + 18x + 3x2 + -12y + 3y2 = 0 + -3
6m + 18x + 3x2 + -12y + 3y2 = 0 + -3

Combine like terms: 0 + -3 = -3
6m + 18x + 3x2 + -12y + 3y2 = -3

Add '-18x' to each side of the equation.
6m + 18x + 3x2 + -12y + -18x + 3y2 = -3 + -18x

Reorder the terms:
6m + 18x + -18x + 3x2 + -12y + 3y2 = -3 + -18x

Combine like terms: 18x + -18x = 0
6m + 0 + 3x2 + -12y + 3y2 = -3 + -18x
6m + 3x2 + -12y + 3y2 = -3 + -18x

Add '-3x2' to each side of the equation.
6m + 3x2 + -12y + -3x2 + 3y2 = -3 + -18x + -3x2

Reorder the terms:
6m + 3x2 + -3x2 + -12y + 3y2 = -3 + -18x + -3x2

Combine like terms: 3x2 + -3x2 = 0
6m + 0 + -12y + 3y2 = -3 + -18x + -3x2
6m + -12y + 3y2 = -3 + -18x + -3x2

Add '12y' to each side of the equation.
6m + -12y + 12y + 3y2 = -3 + -18x + -3x2 + 12y

Combine like terms: -12y + 12y = 0
6m + 0 + 3y2 = -3 + -18x + -3x2 + 12y
6m + 3y2 = -3 + -18x + -3x2 + 12y

Add '-3y2' to each side of the equation.
6m + 3y2 + -3y2 = -3 + -18x + -3x2 + 12y + -3y2

Combine like terms: 3y2 + -3y2 = 0
6m + 0 = -3 + -18x + -3x2 + 12y + -3y2
6m = -3 + -18x + -3x2 + 12y + -3y2

Divide each side by '6'.
m = -0.5 + -3x + -0.5x2 + 2y + -0.5y2

Simplifying
m = -0.5 + -3x + -0.5x2 + 2y + -0.5y2

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