X^2+4y^2-10x+16y+37=0

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Solution for X^2+4y^2-10x+16y+37=0 equation: 


Simplifying
X2 + 4y2 + -10x + 16y + 37 = 0

Reorder the terms:
37 + X2 + -10x + 16y + 4y2 = 0

Solving
37 + X2 + -10x + 16y + 4y2 = 0

Solving for variable 'X'.

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

Add '-37' to each side of the equation.
37 + X2 + -10x + 16y + -37 + 4y2 = 0 + -37

Reorder the terms:
37 + -37 + X2 + -10x + 16y + 4y2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + X2 + -10x + 16y + 4y2 = 0 + -37
X2 + -10x + 16y + 4y2 = 0 + -37

Combine like terms: 0 + -37 = -37
X2 + -10x + 16y + 4y2 = -37

Add '10x' to each side of the equation.
X2 + -10x + 16y + 10x + 4y2 = -37 + 10x

Reorder the terms:
X2 + -10x + 10x + 16y + 4y2 = -37 + 10x

Combine like terms: -10x + 10x = 0
X2 + 0 + 16y + 4y2 = -37 + 10x
X2 + 16y + 4y2 = -37 + 10x

Add '-16y' to each side of the equation.
X2 + 16y + -16y + 4y2 = -37 + 10x + -16y

Combine like terms: 16y + -16y = 0
X2 + 0 + 4y2 = -37 + 10x + -16y
X2 + 4y2 = -37 + 10x + -16y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = -37 + 10x + -16y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = -37 + 10x + -16y + -4y2
X2 = -37 + 10x + -16y + -4y2

Simplifying
X2 = -37 + 10x + -16y + -4y2

Reorder the terms:
37 + X2 + -10x + 16y + 4y2 = -37 + 10x + -16y + -4y2 + 37 + -10x + 16y + 4y2

Reorder the terms:
37 + X2 + -10x + 16y + 4y2 = -37 + 37 + 10x + -10x + -16y + 16y + -4y2 + 4y2

Combine like terms: -37 + 37 = 0
37 + X2 + -10x + 16y + 4y2 = 0 + 10x + -10x + -16y + 16y + -4y2 + 4y2
37 + X2 + -10x + 16y + 4y2 = 10x + -10x + -16y + 16y + -4y2 + 4y2

Combine like terms: 10x + -10x = 0
37 + X2 + -10x + 16y + 4y2 = 0 + -16y + 16y + -4y2 + 4y2
37 + X2 + -10x + 16y + 4y2 = -16y + 16y + -4y2 + 4y2

Combine like terms: -16y + 16y = 0
37 + X2 + -10x + 16y + 4y2 = 0 + -4y2 + 4y2
37 + X2 + -10x + 16y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
37 + X2 + -10x + 16y + 4y2 = 0

The solution to this equation could not be determined.

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