x^2-10y+y^2-20y=-125

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Solution for x^2-10y+y^2-20y=-125 equation:


Simplifying
x2 + -10y + y2 + -20y = -125

Reorder the terms:
x2 + -10y + -20y + y2 = -125

Combine like terms: -10y + -20y = -30y
x2 + -30y + y2 = -125

Solving
x2 + -30y + y2 = -125

Solving for variable 'x'.

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

Add '30y' to each side of the equation.
x2 + -30y + 30y + y2 = -125 + 30y

Combine like terms: -30y + 30y = 0
x2 + 0 + y2 = -125 + 30y
x2 + y2 = -125 + 30y

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = -125 + 30y + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = -125 + 30y + -1y2
x2 = -125 + 30y + -1y2

Simplifying
x2 = -125 + 30y + -1y2

Reorder the terms:
125 + x2 + -30y + y2 = -125 + 30y + -1y2 + 125 + -30y + y2

Reorder the terms:
125 + x2 + -30y + y2 = -125 + 125 + 30y + -30y + -1y2 + y2

Combine like terms: -125 + 125 = 0
125 + x2 + -30y + y2 = 0 + 30y + -30y + -1y2 + y2
125 + x2 + -30y + y2 = 30y + -30y + -1y2 + y2

Combine like terms: 30y + -30y = 0
125 + x2 + -30y + y2 = 0 + -1y2 + y2
125 + x2 + -30y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
125 + x2 + -30y + y2 = 0

The solution to this equation could not be determined.

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