3x^2+3Y^2-12x+8y+12=0

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Solution for 3x^2+3Y^2-12x+8y+12=0 equation: 


Simplifying
3x2 + 3Y2 + -12x + 8y + 12 = 0

Reorder the terms:
12 + 3Y2 + -12x + 3x2 + 8y = 0

Solving
12 + 3Y2 + -12x + 3x2 + 8y = 0

Solving for variable 'Y'.

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

Add '-12' to each side of the equation.
12 + 3Y2 + -12x + 3x2 + -12 + 8y = 0 + -12

Reorder the terms:
12 + -12 + 3Y2 + -12x + 3x2 + 8y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3Y2 + -12x + 3x2 + 8y = 0 + -12
3Y2 + -12x + 3x2 + 8y = 0 + -12

Combine like terms: 0 + -12 = -12
3Y2 + -12x + 3x2 + 8y = -12

Add '12x' to each side of the equation.
3Y2 + -12x + 3x2 + 12x + 8y = -12 + 12x

Reorder the terms:
3Y2 + -12x + 12x + 3x2 + 8y = -12 + 12x

Combine like terms: -12x + 12x = 0
3Y2 + 0 + 3x2 + 8y = -12 + 12x
3Y2 + 3x2 + 8y = -12 + 12x

Add '-3x2' to each side of the equation.
3Y2 + 3x2 + -3x2 + 8y = -12 + 12x + -3x2

Combine like terms: 3x2 + -3x2 = 0
3Y2 + 0 + 8y = -12 + 12x + -3x2
3Y2 + 8y = -12 + 12x + -3x2

Add '-8y' to each side of the equation.
3Y2 + 8y + -8y = -12 + 12x + -3x2 + -8y

Combine like terms: 8y + -8y = 0
3Y2 + 0 = -12 + 12x + -3x2 + -8y
3Y2 = -12 + 12x + -3x2 + -8y

Divide each side by '3'.
Y2 = -4 + 4x + -1x2 + -2.666666667y

Simplifying
Y2 = -4 + 4x + -1x2 + -2.666666667y

Reorder the terms:
4 + Y2 + -4x + x2 + 2.666666667y = -4 + 4x + -1x2 + -2.666666667y + 4 + -4x + x2 + 2.666666667y

Reorder the terms:
4 + Y2 + -4x + x2 + 2.666666667y = -4 + 4 + 4x + -4x + -1x2 + x2 + -2.666666667y + 2.666666667y

Combine like terms: -4 + 4 = 0
4 + Y2 + -4x + x2 + 2.666666667y = 0 + 4x + -4x + -1x2 + x2 + -2.666666667y + 2.666666667y
4 + Y2 + -4x + x2 + 2.666666667y = 4x + -4x + -1x2 + x2 + -2.666666667y + 2.666666667y

Combine like terms: 4x + -4x = 0
4 + Y2 + -4x + x2 + 2.666666667y = 0 + -1x2 + x2 + -2.666666667y + 2.666666667y
4 + Y2 + -4x + x2 + 2.666666667y = -1x2 + x2 + -2.666666667y + 2.666666667y

Combine like terms: -1x2 + x2 = 0
4 + Y2 + -4x + x2 + 2.666666667y = 0 + -2.666666667y + 2.666666667y
4 + Y2 + -4x + x2 + 2.666666667y = -2.666666667y + 2.666666667y

Combine like terms: -2.666666667y + 2.666666667y = 0.000000000
4 + Y2 + -4x + x2 + 2.666666667y = 0.000000000

The solution to this equation could not be determined.

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