X^2+4y+8=2(x^2+8xy^2)

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Solution for X^2+4y+8=2(x^2+8xy^2) equation: 


Simplifying
X2 + 4y + 8 = 2(x2 + 8xy2)

Reorder the terms:
8 + X2 + 4y = 2(x2 + 8xy2)

Reorder the terms:
8 + X2 + 4y = 2(8xy2 + x2)
8 + X2 + 4y = (8xy2 * 2 + x2 * 2)
8 + X2 + 4y = (16xy2 + 2x2)

Solving
8 + X2 + 4y = 16xy2 + 2x2

Solving for variable 'X'.

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

Add '-8' to each side of the equation.
8 + X2 + -8 + 4y = 16xy2 + -8 + 2x2

Reorder the terms:
8 + -8 + X2 + 4y = 16xy2 + -8 + 2x2

Combine like terms: 8 + -8 = 0
0 + X2 + 4y = 16xy2 + -8 + 2x2
X2 + 4y = 16xy2 + -8 + 2x2

Reorder the terms:
X2 + 4y = -8 + 16xy2 + 2x2

Add '-4y' to each side of the equation.
X2 + 4y + -4y = -8 + 16xy2 + 2x2 + -4y

Combine like terms: 4y + -4y = 0
X2 + 0 = -8 + 16xy2 + 2x2 + -4y
X2 = -8 + 16xy2 + 2x2 + -4y

Simplifying
X2 = -8 + 16xy2 + 2x2 + -4y

Reorder the terms:
8 + X2 + -16xy2 + -2x2 + 4y = -8 + 16xy2 + 2x2 + -4y + 8 + -16xy2 + -2x2 + 4y

Reorder the terms:
8 + X2 + -16xy2 + -2x2 + 4y = -8 + 8 + 16xy2 + -16xy2 + 2x2 + -2x2 + -4y + 4y

Combine like terms: -8 + 8 = 0
8 + X2 + -16xy2 + -2x2 + 4y = 0 + 16xy2 + -16xy2 + 2x2 + -2x2 + -4y + 4y
8 + X2 + -16xy2 + -2x2 + 4y = 16xy2 + -16xy2 + 2x2 + -2x2 + -4y + 4y

Combine like terms: 16xy2 + -16xy2 = 0
8 + X2 + -16xy2 + -2x2 + 4y = 0 + 2x2 + -2x2 + -4y + 4y
8 + X2 + -16xy2 + -2x2 + 4y = 2x2 + -2x2 + -4y + 4y

Combine like terms: 2x2 + -2x2 = 0
8 + X2 + -16xy2 + -2x2 + 4y = 0 + -4y + 4y
8 + X2 + -16xy2 + -2x2 + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
8 + X2 + -16xy2 + -2x2 + 4y = 0

The solution to this equation could not be determined.

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