X^2-10x+2y^2-47=0

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Solution for X^2-10x+2y^2-47=0 equation:


Simplifying
X2 + -10x + 2y2 + -47 = 0

Reorder the terms:
-47 + X2 + -10x + 2y2 = 0

Solving
-47 + X2 + -10x + 2y2 = 0

Solving for variable 'X'.

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

Add '47' to each side of the equation.
-47 + X2 + -10x + 47 + 2y2 = 0 + 47

Reorder the terms:
-47 + 47 + X2 + -10x + 2y2 = 0 + 47

Combine like terms: -47 + 47 = 0
0 + X2 + -10x + 2y2 = 0 + 47
X2 + -10x + 2y2 = 0 + 47

Combine like terms: 0 + 47 = 47
X2 + -10x + 2y2 = 47

Add '10x' to each side of the equation.
X2 + -10x + 10x + 2y2 = 47 + 10x

Combine like terms: -10x + 10x = 0
X2 + 0 + 2y2 = 47 + 10x
X2 + 2y2 = 47 + 10x

Add '-2y2' to each side of the equation.
X2 + 2y2 + -2y2 = 47 + 10x + -2y2

Combine like terms: 2y2 + -2y2 = 0
X2 + 0 = 47 + 10x + -2y2
X2 = 47 + 10x + -2y2

Simplifying
X2 = 47 + 10x + -2y2

Reorder the terms:
-47 + X2 + -10x + 2y2 = 47 + 10x + -2y2 + -47 + -10x + 2y2

Reorder the terms:
-47 + X2 + -10x + 2y2 = 47 + -47 + 10x + -10x + -2y2 + 2y2

Combine like terms: 47 + -47 = 0
-47 + X2 + -10x + 2y2 = 0 + 10x + -10x + -2y2 + 2y2
-47 + X2 + -10x + 2y2 = 10x + -10x + -2y2 + 2y2

Combine like terms: 10x + -10x = 0
-47 + X2 + -10x + 2y2 = 0 + -2y2 + 2y2
-47 + X2 + -10x + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-47 + X2 + -10x + 2y2 = 0

The solution to this equation could not be determined.

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