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

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


Simplifying
y2 + x2 + -4y + -12 = 0

Reorder the terms:
-12 + x2 + -4y + y2 = 0

Solving
-12 + x2 + -4y + y2 = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + x2 + -4y + 12 + y2 = 0 + 12

Reorder the terms:
-12 + 12 + x2 + -4y + y2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x2 + -4y + y2 = 0 + 12
x2 + -4y + y2 = 0 + 12

Combine like terms: 0 + 12 = 12
x2 + -4y + y2 = 12

Add '4y' to each side of the equation.
x2 + -4y + 4y + y2 = 12 + 4y

Combine like terms: -4y + 4y = 0
x2 + 0 + y2 = 12 + 4y
x2 + y2 = 12 + 4y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 12 + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 12 + 4y + -1y2
x2 = 12 + 4y + -1y2

Simplifying
x2 = 12 + 4y + -1y2

Reorder the terms:
-12 + x2 + -4y + y2 = 12 + 4y + -1y2 + -12 + -4y + y2

Reorder the terms:
-12 + x2 + -4y + y2 = 12 + -12 + 4y + -4y + -1y2 + y2

Combine like terms: 12 + -12 = 0
-12 + x2 + -4y + y2 = 0 + 4y + -4y + -1y2 + y2
-12 + x2 + -4y + y2 = 4y + -4y + -1y2 + y2

Combine like terms: 4y + -4y = 0
-12 + x2 + -4y + y2 = 0 + -1y2 + y2
-12 + x2 + -4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-12 + x2 + -4y + y2 = 0

The solution to this equation could not be determined.

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