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

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


Simplifying
x2 + y2 + -4x = x2 + y2 + 2y

Reorder the terms:
-4x + x2 + y2 = x2 + y2 + 2y

Reorder the terms:
-4x + x2 + y2 = x2 + 2y + y2

Add '-1x2' to each side of the equation.
-4x + x2 + -1x2 + y2 = x2 + 2y + -1x2 + y2

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

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

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

Add '-1y2' to each side of the equation.
-4x + y2 + -1y2 = 2y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-4x + 0 = 2y + y2 + -1y2
-4x = 2y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-4x = 2y + 0
-4x = 2y

Solving
-4x = 2y

Solving for variable 'x'.

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

Divide each side by '-4'.
x = -0.5y

Simplifying
x = -0.5y

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