x+y^2-c=3x-y+c

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Solution for x+y^2-c=3x-y+c equation:


Simplifying
x + y2 + -1c = 3x + -1y + c

Reorder the terms:
-1c + x + y2 = 3x + -1y + c

Reorder the terms:
-1c + x + y2 = c + 3x + -1y

Solving
-1c + x + y2 = c + 3x + -1y

Solving for variable 'c'.

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

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

Reorder the terms:
-1c + -1c + x + y2 = c + 3x + -1c + -1y

Combine like terms: -1c + -1c = -2c
-2c + x + y2 = c + 3x + -1c + -1y

Reorder the terms:
-2c + x + y2 = c + -1c + 3x + -1y

Combine like terms: c + -1c = 0
-2c + x + y2 = 0 + 3x + -1y
-2c + x + y2 = 3x + -1y

Add '-1x' to each side of the equation.
-2c + x + -1x + y2 = 3x + -1x + -1y

Combine like terms: x + -1x = 0
-2c + 0 + y2 = 3x + -1x + -1y
-2c + y2 = 3x + -1x + -1y

Combine like terms: 3x + -1x = 2x
-2c + y2 = 2x + -1y

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

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

Divide each side by '-2'.
c = -1x + 0.5y + 0.5y2

Simplifying
c = -1x + 0.5y + 0.5y2

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