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

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


Simplifying
0 = 12 + -1y2 + x2 + 2y + 4y

Reorder the terms:
0 = 12 + x2 + 2y + 4y + -1y2

Combine like terms: 2y + 4y = 6y
0 = 12 + x2 + 6y + -1y2

Solving
0 = 12 + x2 + 6y + -1y2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
0 + -1x2 = 12 + x2 + 6y + -1x2 + -1y2
Remove the zero:
-1x2 = 12 + x2 + 6y + -1x2 + -1y2

Reorder the terms:
-1x2 = 12 + x2 + -1x2 + 6y + -1y2

Combine like terms: x2 + -1x2 = 0
-1x2 = 12 + 0 + 6y + -1y2
-1x2 = 12 + 6y + -1y2

Divide each side by '-1'.
x2 = -12 + -6y + y2

Simplifying
x2 = -12 + -6y + y2

Reorder the terms:
12 + x2 + 6y + -1y2 = -12 + -6y + y2 + 12 + 6y + -1y2

Reorder the terms:
12 + x2 + 6y + -1y2 = -12 + 12 + -6y + 6y + y2 + -1y2

Combine like terms: -12 + 12 = 0
12 + x2 + 6y + -1y2 = 0 + -6y + 6y + y2 + -1y2
12 + x2 + 6y + -1y2 = -6y + 6y + y2 + -1y2

Combine like terms: -6y + 6y = 0
12 + x2 + 6y + -1y2 = 0 + y2 + -1y2
12 + x2 + 6y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
12 + x2 + 6y + -1y2 = 0

The solution to this equation could not be determined.

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