X^2+10x+3+y^2+-4y+2=8

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Solution for X^2+10x+3+y^2+-4y+2=8 equation: 


Simplifying
X2 + 10x + 3 + y2 + -4y + 2 = 8

Reorder the terms:
3 + 2 + X2 + 10x + -4y + y2 = 8

Combine like terms: 3 + 2 = 5
5 + X2 + 10x + -4y + y2 = 8

Solving
5 + X2 + 10x + -4y + y2 = 8

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X2 + 10x + -4y + -5 + y2 = 8 + -5

Reorder the terms:
5 + -5 + X2 + 10x + -4y + y2 = 8 + -5

Combine like terms: 5 + -5 = 0
0 + X2 + 10x + -4y + y2 = 8 + -5
X2 + 10x + -4y + y2 = 8 + -5

Combine like terms: 8 + -5 = 3
X2 + 10x + -4y + y2 = 3

Add '-10x' to each side of the equation.
X2 + 10x + -4y + -10x + y2 = 3 + -10x

Reorder the terms:
X2 + 10x + -10x + -4y + y2 = 3 + -10x

Combine like terms: 10x + -10x = 0
X2 + 0 + -4y + y2 = 3 + -10x
X2 + -4y + y2 = 3 + -10x

Add '4y' to each side of the equation.
X2 + -4y + 4y + y2 = 3 + -10x + 4y

Combine like terms: -4y + 4y = 0
X2 + 0 + y2 = 3 + -10x + 4y
X2 + y2 = 3 + -10x + 4y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 3 + -10x + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 3 + -10x + 4y + -1y2
X2 = 3 + -10x + 4y + -1y2

Simplifying
X2 = 3 + -10x + 4y + -1y2

Reorder the terms:
-3 + X2 + 10x + -4y + y2 = 3 + -10x + 4y + -1y2 + -3 + 10x + -4y + y2

Reorder the terms:
-3 + X2 + 10x + -4y + y2 = 3 + -3 + -10x + 10x + 4y + -4y + -1y2 + y2

Combine like terms: 3 + -3 = 0
-3 + X2 + 10x + -4y + y2 = 0 + -10x + 10x + 4y + -4y + -1y2 + y2
-3 + X2 + 10x + -4y + y2 = -10x + 10x + 4y + -4y + -1y2 + y2

Combine like terms: -10x + 10x = 0
-3 + X2 + 10x + -4y + y2 = 0 + 4y + -4y + -1y2 + y2
-3 + X2 + 10x + -4y + y2 = 4y + -4y + -1y2 + y2

Combine like terms: 4y + -4y = 0
-3 + X2 + 10x + -4y + y2 = 0 + -1y2 + y2
-3 + X2 + 10x + -4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-3 + X2 + 10x + -4y + y2 = 0

The solution to this equation could not be determined.

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