x^2+(y-11)(y-11)=121

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Solution for x^2+(y-11)(y-11)=121 equation: 


Simplifying
x2 + (y + -11)(y + -11) = 121

Reorder the terms:
x2 + (-11 + y)(y + -11) = 121

Reorder the terms:
x2 + (-11 + y)(-11 + y) = 121

Multiply (-11 + y) * (-11 + y)
x2 + (-11(-11 + y) + y(-11 + y)) = 121
x2 + ((-11 * -11 + y * -11) + y(-11 + y)) = 121
x2 + ((121 + -11y) + y(-11 + y)) = 121
x2 + (121 + -11y + (-11 * y + y * y)) = 121
x2 + (121 + -11y + (-11y + y2)) = 121

Combine like terms: -11y + -11y = -22y
x2 + (121 + -22y + y2) = 121

Reorder the terms:
121 + x2 + -22y + y2 = 121

Add '-121' to each side of the equation.
121 + x2 + -22y + -121 + y2 = 121 + -121

Reorder the terms:
121 + -121 + x2 + -22y + y2 = 121 + -121

Combine like terms: 121 + -121 = 0
0 + x2 + -22y + y2 = 121 + -121
x2 + -22y + y2 = 121 + -121

Combine like terms: 121 + -121 = 0
x2 + -22y + y2 = 0

Solving
x2 + -22y + y2 = 0

Solving for variable 'x'.

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

Add '22y' to each side of the equation.
x2 + -22y + 22y + y2 = 0 + 22y

Combine like terms: -22y + 22y = 0
x2 + 0 + y2 = 0 + 22y
x2 + y2 = 0 + 22y
Remove the zero:
x2 + y2 = 22y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 22y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 22y + -1y2
x2 = 22y + -1y2

Simplifying
x2 = 22y + -1y2

Reorder the terms:
x2 + -22y + y2 = 22y + -22y + -1y2 + y2

Combine like terms: 22y + -22y = 0
x2 + -22y + y2 = 0 + -1y2 + y2
x2 + -22y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
x2 + -22y + y2 = 0

The solution to this equation could not be determined.

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