y^2-10y-5x+55=0

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Solution for y^2-10y-5x+55=0 equation: 


Simplifying
y2 + -10y + -5x + 55 = 0

Reorder the terms:
55 + -5x + -10y + y2 = 0

Solving
55 + -5x + -10y + y2 = 0

Solving for variable 'x'.

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

Add '-55' to each side of the equation.
55 + -5x + -10y + -55 + y2 = 0 + -55

Reorder the terms:
55 + -55 + -5x + -10y + y2 = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -5x + -10y + y2 = 0 + -55
-5x + -10y + y2 = 0 + -55

Combine like terms: 0 + -55 = -55
-5x + -10y + y2 = -55

Add '10y' to each side of the equation.
-5x + -10y + 10y + y2 = -55 + 10y

Combine like terms: -10y + 10y = 0
-5x + 0 + y2 = -55 + 10y
-5x + y2 = -55 + 10y

Add '-1y2' to each side of the equation.
-5x + y2 + -1y2 = -55 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
-5x + 0 = -55 + 10y + -1y2
-5x = -55 + 10y + -1y2

Divide each side by '-5'.
x = 11 + -2y + 0.2y2

Simplifying
x = 11 + -2y + 0.2y2

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