3x-y^2=53y+x

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Solution for 3x-y^2=53y+x equation:


Simplifying
3x + -1y2 = 53y + x

Reorder the terms:
3x + -1y2 = x + 53y

Solving
3x + -1y2 = x + 53y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3x + -1x + -1y2 = x + -1x + 53y

Combine like terms: 3x + -1x = 2x
2x + -1y2 = x + -1x + 53y

Combine like terms: x + -1x = 0
2x + -1y2 = 0 + 53y
2x + -1y2 = 53y

Add 'y2' to each side of the equation.
2x + -1y2 + y2 = 53y + y2

Combine like terms: -1y2 + y2 = 0
2x + 0 = 53y + y2
2x = 53y + y2

Divide each side by '2'.
x = 26.5y + 0.5y2

Simplifying
x = 26.5y + 0.5y2

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