X^2-6x+y^2-10y+40=0

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Solution for X^2-6x+y^2-10y+40=0 equation: 


Simplifying
X2 + -6x + y2 + -10y + 40 = 0

Reorder the terms:
40 + X2 + -6x + -10y + y2 = 0

Solving
40 + X2 + -6x + -10y + y2 = 0

Solving for variable 'X'.

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

Add '-40' to each side of the equation.
40 + X2 + -6x + -10y + -40 + y2 = 0 + -40

Reorder the terms:
40 + -40 + X2 + -6x + -10y + y2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + X2 + -6x + -10y + y2 = 0 + -40
X2 + -6x + -10y + y2 = 0 + -40

Combine like terms: 0 + -40 = -40
X2 + -6x + -10y + y2 = -40

Add '6x' to each side of the equation.
X2 + -6x + -10y + 6x + y2 = -40 + 6x

Reorder the terms:
X2 + -6x + 6x + -10y + y2 = -40 + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 + -10y + y2 = -40 + 6x
X2 + -10y + y2 = -40 + 6x

Add '10y' to each side of the equation.
X2 + -10y + 10y + y2 = -40 + 6x + 10y

Combine like terms: -10y + 10y = 0
X2 + 0 + y2 = -40 + 6x + 10y
X2 + y2 = -40 + 6x + 10y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -40 + 6x + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -40 + 6x + 10y + -1y2
X2 = -40 + 6x + 10y + -1y2

Simplifying
X2 = -40 + 6x + 10y + -1y2

Reorder the terms:
40 + X2 + -6x + -10y + y2 = -40 + 6x + 10y + -1y2 + 40 + -6x + -10y + y2

Reorder the terms:
40 + X2 + -6x + -10y + y2 = -40 + 40 + 6x + -6x + 10y + -10y + -1y2 + y2

Combine like terms: -40 + 40 = 0
40 + X2 + -6x + -10y + y2 = 0 + 6x + -6x + 10y + -10y + -1y2 + y2
40 + X2 + -6x + -10y + y2 = 6x + -6x + 10y + -10y + -1y2 + y2

Combine like terms: 6x + -6x = 0
40 + X2 + -6x + -10y + y2 = 0 + 10y + -10y + -1y2 + y2
40 + X2 + -6x + -10y + y2 = 10y + -10y + -1y2 + y2

Combine like terms: 10y + -10y = 0
40 + X2 + -6x + -10y + y2 = 0 + -1y2 + y2
40 + X2 + -6x + -10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
40 + X2 + -6x + -10y + y2 = 0

The solution to this equation could not be determined.

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