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

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


Simplifying
X2 + 10x + y2 + -20y = -125

Reorder the terms:
X2 + 10x + -20y + y2 = -125

Solving
X2 + 10x + -20y + y2 = -125

Solving for variable 'X'.

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

Add '-10x' to each side of the equation.
X2 + 10x + -20y + -10x + y2 = -125 + -10x

Reorder the terms:
X2 + 10x + -10x + -20y + y2 = -125 + -10x

Combine like terms: 10x + -10x = 0
X2 + 0 + -20y + y2 = -125 + -10x
X2 + -20y + y2 = -125 + -10x

Add '20y' to each side of the equation.
X2 + -20y + 20y + y2 = -125 + -10x + 20y

Combine like terms: -20y + 20y = 0
X2 + 0 + y2 = -125 + -10x + 20y
X2 + y2 = -125 + -10x + 20y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -125 + -10x + 20y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -125 + -10x + 20y + -1y2
X2 = -125 + -10x + 20y + -1y2

Simplifying
X2 = -125 + -10x + 20y + -1y2

Reorder the terms:
125 + X2 + 10x + -20y + y2 = -125 + -10x + 20y + -1y2 + 125 + 10x + -20y + y2

Reorder the terms:
125 + X2 + 10x + -20y + y2 = -125 + 125 + -10x + 10x + 20y + -20y + -1y2 + y2

Combine like terms: -125 + 125 = 0
125 + X2 + 10x + -20y + y2 = 0 + -10x + 10x + 20y + -20y + -1y2 + y2
125 + X2 + 10x + -20y + y2 = -10x + 10x + 20y + -20y + -1y2 + y2

Combine like terms: -10x + 10x = 0
125 + X2 + 10x + -20y + y2 = 0 + 20y + -20y + -1y2 + y2
125 + X2 + 10x + -20y + y2 = 20y + -20y + -1y2 + y2

Combine like terms: 20y + -20y = 0
125 + X2 + 10x + -20y + y2 = 0 + -1y2 + y2
125 + X2 + 10x + -20y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
125 + X2 + 10x + -20y + y2 = 0

The solution to this equation could not be determined.

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