y^2-2y-4x+9=0

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Solution for y^2-2y-4x+9=0 equation:


Simplifying
y2 + -2y + -4x + 9 = 0

Reorder the terms:
9 + -4x + -2y + y2 = 0

Solving
9 + -4x + -2y + y2 = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -4x + -2y + -9 + y2 = 0 + -9

Reorder the terms:
9 + -9 + -4x + -2y + y2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x + -2y + y2 = 0 + -9
-4x + -2y + y2 = 0 + -9

Combine like terms: 0 + -9 = -9
-4x + -2y + y2 = -9

Add '2y' to each side of the equation.
-4x + -2y + 2y + y2 = -9 + 2y

Combine like terms: -2y + 2y = 0
-4x + 0 + y2 = -9 + 2y
-4x + y2 = -9 + 2y

Add '-1y2' to each side of the equation.
-4x + y2 + -1y2 = -9 + 2y + -1y2

Combine like terms: y2 + -1y2 = 0
-4x + 0 = -9 + 2y + -1y2
-4x = -9 + 2y + -1y2

Divide each side by '-4'.
x = 2.25 + -0.5y + 0.25y2

Simplifying
x = 2.25 + -0.5y + 0.25y2

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