X^2-4y^2+10x-48y-135=0

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Solution for X^2-4y^2+10x-48y-135=0 equation:


Simplifying
X2 + -4y2 + 10x + -48y + -135 = 0

Reorder the terms:
-135 + X2 + 10x + -48y + -4y2 = 0

Solving
-135 + X2 + 10x + -48y + -4y2 = 0

Solving for variable 'X'.

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

Add '135' to each side of the equation.
-135 + X2 + 10x + -48y + 135 + -4y2 = 0 + 135

Reorder the terms:
-135 + 135 + X2 + 10x + -48y + -4y2 = 0 + 135

Combine like terms: -135 + 135 = 0
0 + X2 + 10x + -48y + -4y2 = 0 + 135
X2 + 10x + -48y + -4y2 = 0 + 135

Combine like terms: 0 + 135 = 135
X2 + 10x + -48y + -4y2 = 135

Add '-10x' to each side of the equation.
X2 + 10x + -48y + -10x + -4y2 = 135 + -10x

Reorder the terms:
X2 + 10x + -10x + -48y + -4y2 = 135 + -10x

Combine like terms: 10x + -10x = 0
X2 + 0 + -48y + -4y2 = 135 + -10x
X2 + -48y + -4y2 = 135 + -10x

Add '48y' to each side of the equation.
X2 + -48y + 48y + -4y2 = 135 + -10x + 48y

Combine like terms: -48y + 48y = 0
X2 + 0 + -4y2 = 135 + -10x + 48y
X2 + -4y2 = 135 + -10x + 48y

Add '4y2' to each side of the equation.
X2 + -4y2 + 4y2 = 135 + -10x + 48y + 4y2

Combine like terms: -4y2 + 4y2 = 0
X2 + 0 = 135 + -10x + 48y + 4y2
X2 = 135 + -10x + 48y + 4y2

Simplifying
X2 = 135 + -10x + 48y + 4y2

Reorder the terms:
-135 + X2 + 10x + -48y + -4y2 = 135 + -10x + 48y + 4y2 + -135 + 10x + -48y + -4y2

Reorder the terms:
-135 + X2 + 10x + -48y + -4y2 = 135 + -135 + -10x + 10x + 48y + -48y + 4y2 + -4y2

Combine like terms: 135 + -135 = 0
-135 + X2 + 10x + -48y + -4y2 = 0 + -10x + 10x + 48y + -48y + 4y2 + -4y2
-135 + X2 + 10x + -48y + -4y2 = -10x + 10x + 48y + -48y + 4y2 + -4y2

Combine like terms: -10x + 10x = 0
-135 + X2 + 10x + -48y + -4y2 = 0 + 48y + -48y + 4y2 + -4y2
-135 + X2 + 10x + -48y + -4y2 = 48y + -48y + 4y2 + -4y2

Combine like terms: 48y + -48y = 0
-135 + X2 + 10x + -48y + -4y2 = 0 + 4y2 + -4y2
-135 + X2 + 10x + -48y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-135 + X2 + 10x + -48y + -4y2 = 0

The solution to this equation could not be determined.

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