X^2+4y^2+2x-48y+45=0

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Solution for X^2+4y^2+2x-48y+45=0 equation:


Simplifying
X2 + 4y2 + 2x + -48y + 45 = 0

Reorder the terms:
45 + X2 + 2x + -48y + 4y2 = 0

Solving
45 + X2 + 2x + -48y + 4y2 = 0

Solving for variable 'X'.

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

Add '-45' to each side of the equation.
45 + X2 + 2x + -48y + -45 + 4y2 = 0 + -45

Reorder the terms:
45 + -45 + X2 + 2x + -48y + 4y2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + X2 + 2x + -48y + 4y2 = 0 + -45
X2 + 2x + -48y + 4y2 = 0 + -45

Combine like terms: 0 + -45 = -45
X2 + 2x + -48y + 4y2 = -45

Add '-2x' to each side of the equation.
X2 + 2x + -48y + -2x + 4y2 = -45 + -2x

Reorder the terms:
X2 + 2x + -2x + -48y + 4y2 = -45 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + -48y + 4y2 = -45 + -2x
X2 + -48y + 4y2 = -45 + -2x

Add '48y' to each side of the equation.
X2 + -48y + 48y + 4y2 = -45 + -2x + 48y

Combine like terms: -48y + 48y = 0
X2 + 0 + 4y2 = -45 + -2x + 48y
X2 + 4y2 = -45 + -2x + 48y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = -45 + -2x + 48y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = -45 + -2x + 48y + -4y2
X2 = -45 + -2x + 48y + -4y2

Simplifying
X2 = -45 + -2x + 48y + -4y2

Reorder the terms:
45 + X2 + 2x + -48y + 4y2 = -45 + -2x + 48y + -4y2 + 45 + 2x + -48y + 4y2

Reorder the terms:
45 + X2 + 2x + -48y + 4y2 = -45 + 45 + -2x + 2x + 48y + -48y + -4y2 + 4y2

Combine like terms: -45 + 45 = 0
45 + X2 + 2x + -48y + 4y2 = 0 + -2x + 2x + 48y + -48y + -4y2 + 4y2
45 + X2 + 2x + -48y + 4y2 = -2x + 2x + 48y + -48y + -4y2 + 4y2

Combine like terms: -2x + 2x = 0
45 + X2 + 2x + -48y + 4y2 = 0 + 48y + -48y + -4y2 + 4y2
45 + X2 + 2x + -48y + 4y2 = 48y + -48y + -4y2 + 4y2

Combine like terms: 48y + -48y = 0
45 + X2 + 2x + -48y + 4y2 = 0 + -4y2 + 4y2
45 + X2 + 2x + -48y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
45 + X2 + 2x + -48y + 4y2 = 0

The solution to this equation could not be determined.

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