X^2+2y^2+10x+24y+27=0

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Solution for X^2+2y^2+10x+24y+27=0 equation: 


Simplifying
X2 + 2y2 + 10x + 24y + 27 = 0

Reorder the terms:
27 + X2 + 10x + 24y + 2y2 = 0

Solving
27 + X2 + 10x + 24y + 2y2 = 0

Solving for variable 'X'.

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

Add '-27' to each side of the equation.
27 + X2 + 10x + 24y + -27 + 2y2 = 0 + -27

Reorder the terms:
27 + -27 + X2 + 10x + 24y + 2y2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + X2 + 10x + 24y + 2y2 = 0 + -27
X2 + 10x + 24y + 2y2 = 0 + -27

Combine like terms: 0 + -27 = -27
X2 + 10x + 24y + 2y2 = -27

Add '-10x' to each side of the equation.
X2 + 10x + 24y + -10x + 2y2 = -27 + -10x

Reorder the terms:
X2 + 10x + -10x + 24y + 2y2 = -27 + -10x

Combine like terms: 10x + -10x = 0
X2 + 0 + 24y + 2y2 = -27 + -10x
X2 + 24y + 2y2 = -27 + -10x

Add '-24y' to each side of the equation.
X2 + 24y + -24y + 2y2 = -27 + -10x + -24y

Combine like terms: 24y + -24y = 0
X2 + 0 + 2y2 = -27 + -10x + -24y
X2 + 2y2 = -27 + -10x + -24y

Add '-2y2' to each side of the equation.
X2 + 2y2 + -2y2 = -27 + -10x + -24y + -2y2

Combine like terms: 2y2 + -2y2 = 0
X2 + 0 = -27 + -10x + -24y + -2y2
X2 = -27 + -10x + -24y + -2y2

Simplifying
X2 = -27 + -10x + -24y + -2y2

Reorder the terms:
27 + X2 + 10x + 24y + 2y2 = -27 + -10x + -24y + -2y2 + 27 + 10x + 24y + 2y2

Reorder the terms:
27 + X2 + 10x + 24y + 2y2 = -27 + 27 + -10x + 10x + -24y + 24y + -2y2 + 2y2

Combine like terms: -27 + 27 = 0
27 + X2 + 10x + 24y + 2y2 = 0 + -10x + 10x + -24y + 24y + -2y2 + 2y2
27 + X2 + 10x + 24y + 2y2 = -10x + 10x + -24y + 24y + -2y2 + 2y2

Combine like terms: -10x + 10x = 0
27 + X2 + 10x + 24y + 2y2 = 0 + -24y + 24y + -2y2 + 2y2
27 + X2 + 10x + 24y + 2y2 = -24y + 24y + -2y2 + 2y2

Combine like terms: -24y + 24y = 0
27 + X2 + 10x + 24y + 2y2 = 0 + -2y2 + 2y2
27 + X2 + 10x + 24y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
27 + X2 + 10x + 24y + 2y2 = 0

The solution to this equation could not be determined.

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