y^2-4y-6x+13=0

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Solution for y^2-4y-6x+13=0 equation:


Simplifying
y2 + -4y + -6x + 13 = 0

Reorder the terms:
13 + -6x + -4y + y2 = 0

Solving
13 + -6x + -4y + 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 + -6x + -4y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + -6x + -4y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6x + -4y + y2 = 0 + -13
-6x + -4y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
-6x + -4y + y2 = -13

Add '4y' to each side of the equation.
-6x + -4y + 4y + y2 = -13 + 4y

Combine like terms: -4y + 4y = 0
-6x + 0 + y2 = -13 + 4y
-6x + y2 = -13 + 4y

Add '-1y2' to each side of the equation.
-6x + y2 + -1y2 = -13 + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
-6x + 0 = -13 + 4y + -1y2
-6x = -13 + 4y + -1y2

Divide each side by '-6'.
x = 2.166666667 + -0.6666666667y + 0.1666666667y2

Simplifying
x = 2.166666667 + -0.6666666667y + 0.1666666667y2

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