y^2+6*x-6*y+15=0

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Solution for y^2+6*x-6*y+15=0 equation:


Simplifying
y2 + 6x + -6y + 15 = 0

Reorder the terms:
15 + 6x + -6y + y2 = 0

Solving
15 + 6x + -6y + y2 = 0

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + 6x + -6y + -15 + y2 = 0 + -15

Reorder the terms:
15 + -15 + 6x + -6y + y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 6x + -6y + y2 = 0 + -15
6x + -6y + y2 = 0 + -15

Combine like terms: 0 + -15 = -15
6x + -6y + y2 = -15

Add '6y' to each side of the equation.
6x + -6y + 6y + y2 = -15 + 6y

Combine like terms: -6y + 6y = 0
6x + 0 + y2 = -15 + 6y
6x + y2 = -15 + 6y

Add '-1y2' to each side of the equation.
6x + y2 + -1y2 = -15 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
6x + 0 = -15 + 6y + -1y2
6x = -15 + 6y + -1y2

Divide each side by '6'.
x = -2.5 + y + -0.1666666667y2

Simplifying
x = -2.5 + y + -0.1666666667y2

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