y^2-6y+2x+11=0

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Solution for y^2-6y+2x+11=0 equation:


Simplifying
y2 + -6y + 2x + 11 = 0

Reorder the terms:
11 + 2x + -6y + y2 = 0

Solving
11 + 2x + -6y + y2 = 0

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + 2x + -6y + -11 + y2 = 0 + -11

Reorder the terms:
11 + -11 + 2x + -6y + y2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x + -6y + y2 = 0 + -11
2x + -6y + y2 = 0 + -11

Combine like terms: 0 + -11 = -11
2x + -6y + y2 = -11

Add '6y' to each side of the equation.
2x + -6y + 6y + y2 = -11 + 6y

Combine like terms: -6y + 6y = 0
2x + 0 + y2 = -11 + 6y
2x + y2 = -11 + 6y

Add '-1y2' to each side of the equation.
2x + y2 + -1y2 = -11 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
2x + 0 = -11 + 6y + -1y2
2x = -11 + 6y + -1y2

Divide each side by '2'.
x = -5.5 + 3y + -0.5y2

Simplifying
x = -5.5 + 3y + -0.5y2

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