Y^2-4x^2-12y-16x+4=0

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Solution for Y^2-4x^2-12y-16x+4=0 equation:


Simplifying
Y2 + -4x2 + -12y + -16x + 4 = 0

Reorder the terms:
4 + Y2 + -16x + -4x2 + -12y = 0

Solving
4 + Y2 + -16x + -4x2 + -12y = 0

Solving for variable 'Y'.

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

Add '-4' to each side of the equation.
4 + Y2 + -16x + -4x2 + -4 + -12y = 0 + -4

Reorder the terms:
4 + -4 + Y2 + -16x + -4x2 + -12y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + Y2 + -16x + -4x2 + -12y = 0 + -4
Y2 + -16x + -4x2 + -12y = 0 + -4

Combine like terms: 0 + -4 = -4
Y2 + -16x + -4x2 + -12y = -4

Add '16x' to each side of the equation.
Y2 + -16x + -4x2 + 16x + -12y = -4 + 16x

Reorder the terms:
Y2 + -16x + 16x + -4x2 + -12y = -4 + 16x

Combine like terms: -16x + 16x = 0
Y2 + 0 + -4x2 + -12y = -4 + 16x
Y2 + -4x2 + -12y = -4 + 16x

Add '4x2' to each side of the equation.
Y2 + -4x2 + 4x2 + -12y = -4 + 16x + 4x2

Combine like terms: -4x2 + 4x2 = 0
Y2 + 0 + -12y = -4 + 16x + 4x2
Y2 + -12y = -4 + 16x + 4x2

Add '12y' to each side of the equation.
Y2 + -12y + 12y = -4 + 16x + 4x2 + 12y

Combine like terms: -12y + 12y = 0
Y2 + 0 = -4 + 16x + 4x2 + 12y
Y2 = -4 + 16x + 4x2 + 12y

Simplifying
Y2 = -4 + 16x + 4x2 + 12y

Reorder the terms:
4 + Y2 + -16x + -4x2 + -12y = -4 + 16x + 4x2 + 12y + 4 + -16x + -4x2 + -12y

Reorder the terms:
4 + Y2 + -16x + -4x2 + -12y = -4 + 4 + 16x + -16x + 4x2 + -4x2 + 12y + -12y

Combine like terms: -4 + 4 = 0
4 + Y2 + -16x + -4x2 + -12y = 0 + 16x + -16x + 4x2 + -4x2 + 12y + -12y
4 + Y2 + -16x + -4x2 + -12y = 16x + -16x + 4x2 + -4x2 + 12y + -12y

Combine like terms: 16x + -16x = 0
4 + Y2 + -16x + -4x2 + -12y = 0 + 4x2 + -4x2 + 12y + -12y
4 + Y2 + -16x + -4x2 + -12y = 4x2 + -4x2 + 12y + -12y

Combine like terms: 4x2 + -4x2 = 0
4 + Y2 + -16x + -4x2 + -12y = 0 + 12y + -12y
4 + Y2 + -16x + -4x2 + -12y = 12y + -12y

Combine like terms: 12y + -12y = 0
4 + Y2 + -16x + -4x2 + -12y = 0

The solution to this equation could not be determined.

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