X^2+4y^2-8y-32=0

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Solution for X^2+4y^2-8y-32=0 equation:


Simplifying
X2 + 4y2 + -8y + -32 = 0

Reorder the terms:
-32 + X2 + -8y + 4y2 = 0

Solving
-32 + X2 + -8y + 4y2 = 0

Solving for variable 'X'.

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

Add '32' to each side of the equation.
-32 + X2 + -8y + 32 + 4y2 = 0 + 32

Reorder the terms:
-32 + 32 + X2 + -8y + 4y2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + X2 + -8y + 4y2 = 0 + 32
X2 + -8y + 4y2 = 0 + 32

Combine like terms: 0 + 32 = 32
X2 + -8y + 4y2 = 32

Add '8y' to each side of the equation.
X2 + -8y + 8y + 4y2 = 32 + 8y

Combine like terms: -8y + 8y = 0
X2 + 0 + 4y2 = 32 + 8y
X2 + 4y2 = 32 + 8y

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = 32 + 8y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = 32 + 8y + -4y2
X2 = 32 + 8y + -4y2

Simplifying
X2 = 32 + 8y + -4y2

Reorder the terms:
-32 + X2 + -8y + 4y2 = 32 + 8y + -4y2 + -32 + -8y + 4y2

Reorder the terms:
-32 + X2 + -8y + 4y2 = 32 + -32 + 8y + -8y + -4y2 + 4y2

Combine like terms: 32 + -32 = 0
-32 + X2 + -8y + 4y2 = 0 + 8y + -8y + -4y2 + 4y2
-32 + X2 + -8y + 4y2 = 8y + -8y + -4y2 + 4y2

Combine like terms: 8y + -8y = 0
-32 + X2 + -8y + 4y2 = 0 + -4y2 + 4y2
-32 + X2 + -8y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-32 + X2 + -8y + 4y2 = 0

The solution to this equation could not be determined.

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