x^2+y^2+3y=22

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Solution for x^2+y^2+3y=22 equation:


Simplifying
x2 + y2 + 3y = 22

Reorder the terms:
x2 + 3y + y2 = 22

Solving
x2 + 3y + y2 = 22

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
x2 + 3y + -3y + y2 = 22 + -3y

Combine like terms: 3y + -3y = 0
x2 + 0 + y2 = 22 + -3y
x2 + y2 = 22 + -3y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 22 + -3y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 22 + -3y + -1y2
x2 = 22 + -3y + -1y2

Simplifying
x2 = 22 + -3y + -1y2

Reorder the terms:
-22 + x2 + 3y + y2 = 22 + -3y + -1y2 + -22 + 3y + y2

Reorder the terms:
-22 + x2 + 3y + y2 = 22 + -22 + -3y + 3y + -1y2 + y2

Combine like terms: 22 + -22 = 0
-22 + x2 + 3y + y2 = 0 + -3y + 3y + -1y2 + y2
-22 + x2 + 3y + y2 = -3y + 3y + -1y2 + y2

Combine like terms: -3y + 3y = 0
-22 + x2 + 3y + y2 = 0 + -1y2 + y2
-22 + x2 + 3y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-22 + x2 + 3y + y2 = 0

The solution to this equation could not be determined.

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