y^2-2x-6y+13=0

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Solution for y^2-2x-6y+13=0 equation:


Simplifying
y2 + -2x + -6y + 13 = 0

Reorder the terms:
13 + -2x + -6y + y2 = 0

Solving
13 + -2x + -6y + y2 = 0

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -2x + -6y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + -2x + -6y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2x + -6y + y2 = 0 + -13
-2x + -6y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
-2x + -6y + y2 = -13

Add '6y' to each side of the equation.
-2x + -6y + 6y + y2 = -13 + 6y

Combine like terms: -6y + 6y = 0
-2x + 0 + y2 = -13 + 6y
-2x + y2 = -13 + 6y

Add '-1y2' to each side of the equation.
-2x + y2 + -1y2 = -13 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
-2x + 0 = -13 + 6y + -1y2
-2x = -13 + 6y + -1y2

Divide each side by '-2'.
x = 6.5 + -3y + 0.5y2

Simplifying
x = 6.5 + -3y + 0.5y2

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