X^2+4y^2+2x-24y=-21

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Solution for X^2+4y^2+2x-24y=-21 equation: 


Simplifying
X2 + 4y2 + 2x + -24y = -21

Reorder the terms:
X2 + 2x + -24y + 4y2 = -21

Solving
X2 + 2x + -24y + 4y2 = -21

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
X2 + 2x + -24y + -2x + 4y2 = -21 + -2x

Reorder the terms:
X2 + 2x + -2x + -24y + 4y2 = -21 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + -24y + 4y2 = -21 + -2x
X2 + -24y + 4y2 = -21 + -2x

Add '24y' to each side of the equation.
X2 + -24y + 24y + 4y2 = -21 + -2x + 24y

Combine like terms: -24y + 24y = 0
X2 + 0 + 4y2 = -21 + -2x + 24y
X2 + 4y2 = -21 + -2x + 24y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = -21 + -2x + 24y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = -21 + -2x + 24y + -4y2
X2 = -21 + -2x + 24y + -4y2

Simplifying
X2 = -21 + -2x + 24y + -4y2

Reorder the terms:
21 + X2 + 2x + -24y + 4y2 = -21 + -2x + 24y + -4y2 + 21 + 2x + -24y + 4y2

Reorder the terms:
21 + X2 + 2x + -24y + 4y2 = -21 + 21 + -2x + 2x + 24y + -24y + -4y2 + 4y2

Combine like terms: -21 + 21 = 0
21 + X2 + 2x + -24y + 4y2 = 0 + -2x + 2x + 24y + -24y + -4y2 + 4y2
21 + X2 + 2x + -24y + 4y2 = -2x + 2x + 24y + -24y + -4y2 + 4y2

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

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

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

The solution to this equation could not be determined.

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