X^2-4y^2+2x-24y-31=1

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Solution for X^2-4y^2+2x-24y-31=1 equation: 


Simplifying
X2 + -4y2 + 2x + -24y + -31 = 1

Reorder the terms:
-31 + X2 + 2x + -24y + -4y2 = 1

Solving
-31 + X2 + 2x + -24y + -4y2 = 1

Solving for variable 'X'.

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

Add '31' to each side of the equation.
-31 + X2 + 2x + -24y + 31 + -4y2 = 1 + 31

Reorder the terms:
-31 + 31 + X2 + 2x + -24y + -4y2 = 1 + 31

Combine like terms: -31 + 31 = 0
0 + X2 + 2x + -24y + -4y2 = 1 + 31
X2 + 2x + -24y + -4y2 = 1 + 31

Combine like terms: 1 + 31 = 32
X2 + 2x + -24y + -4y2 = 32

Add '-2x' to each side of the equation.
X2 + 2x + -24y + -2x + -4y2 = 32 + -2x

Reorder the terms:
X2 + 2x + -2x + -24y + -4y2 = 32 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + -24y + -4y2 = 32 + -2x
X2 + -24y + -4y2 = 32 + -2x

Add '24y' to each side of the equation.
X2 + -24y + 24y + -4y2 = 32 + -2x + 24y

Combine like terms: -24y + 24y = 0
X2 + 0 + -4y2 = 32 + -2x + 24y
X2 + -4y2 = 32 + -2x + 24y

Add '4y2' to each side of the equation.
X2 + -4y2 + 4y2 = 32 + -2x + 24y + 4y2

Combine like terms: -4y2 + 4y2 = 0
X2 + 0 = 32 + -2x + 24y + 4y2
X2 = 32 + -2x + 24y + 4y2

Simplifying
X2 = 32 + -2x + 24y + 4y2

Reorder the terms:
-32 + X2 + 2x + -24y + -4y2 = 32 + -2x + 24y + 4y2 + -32 + 2x + -24y + -4y2

Reorder the terms:
-32 + X2 + 2x + -24y + -4y2 = 32 + -32 + -2x + 2x + 24y + -24y + 4y2 + -4y2

Combine like terms: 32 + -32 = 0
-32 + X2 + 2x + -24y + -4y2 = 0 + -2x + 2x + 24y + -24y + 4y2 + -4y2
-32 + X2 + 2x + -24y + -4y2 = -2x + 2x + 24y + -24y + 4y2 + -4y2

Combine like terms: -2x + 2x = 0
-32 + X2 + 2x + -24y + -4y2 = 0 + 24y + -24y + 4y2 + -4y2
-32 + X2 + 2x + -24y + -4y2 = 24y + -24y + 4y2 + -4y2

Combine like terms: 24y + -24y = 0
-32 + X2 + 2x + -24y + -4y2 = 0 + 4y2 + -4y2
-32 + X2 + 2x + -24y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-32 + X2 + 2x + -24y + -4y2 = 0

The solution to this equation could not be determined.

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