3x^2+3Y^2-12X+9Y=0

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Solution for 3x^2+3Y^2-12X+9Y=0 equation:


Simplifying
3x2 + 3Y2 + -12X + 9Y = 0

Reorder the terms:
-12X + 9Y + 3Y2 + 3x2 = 0

Solving
-12X + 9Y + 3Y2 + 3x2 = 0

Solving for variable 'X'.

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

Add '-9Y' to each side of the equation.
-12X + 9Y + 3Y2 + -9Y + 3x2 = 0 + -9Y

Reorder the terms:
-12X + 9Y + -9Y + 3Y2 + 3x2 = 0 + -9Y

Combine like terms: 9Y + -9Y = 0
-12X + 0 + 3Y2 + 3x2 = 0 + -9Y
-12X + 3Y2 + 3x2 = 0 + -9Y
Remove the zero:
-12X + 3Y2 + 3x2 = -9Y

Add '-3Y2' to each side of the equation.
-12X + 3Y2 + -3Y2 + 3x2 = -9Y + -3Y2

Combine like terms: 3Y2 + -3Y2 = 0
-12X + 0 + 3x2 = -9Y + -3Y2
-12X + 3x2 = -9Y + -3Y2

Add '-3x2' to each side of the equation.
-12X + 3x2 + -3x2 = -9Y + -3Y2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-12X + 0 = -9Y + -3Y2 + -3x2
-12X = -9Y + -3Y2 + -3x2

Divide each side by '-12'.
X = 0.75Y + 0.25Y2 + 0.25x2

Simplifying
X = 0.75Y + 0.25Y2 + 0.25x2

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