x^2+2y^2+8y+4=0

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Solution for x^2+2y^2+8y+4=0 equation:


Simplifying
x2 + 2y2 + 8y + 4 = 0

Reorder the terms:
4 + x2 + 8y + 2y2 = 0

Solving
4 + x2 + 8y + 2y2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + x2 + 8y + -4 + 2y2 = 0 + -4

Reorder the terms:
4 + -4 + x2 + 8y + 2y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x2 + 8y + 2y2 = 0 + -4
x2 + 8y + 2y2 = 0 + -4

Combine like terms: 0 + -4 = -4
x2 + 8y + 2y2 = -4

Add '-8y' to each side of the equation.
x2 + 8y + -8y + 2y2 = -4 + -8y

Combine like terms: 8y + -8y = 0
x2 + 0 + 2y2 = -4 + -8y
x2 + 2y2 = -4 + -8y

Add '-2y2' to each side of the equation.
x2 + 2y2 + -2y2 = -4 + -8y + -2y2

Combine like terms: 2y2 + -2y2 = 0
x2 + 0 = -4 + -8y + -2y2
x2 = -4 + -8y + -2y2

Simplifying
x2 = -4 + -8y + -2y2

Reorder the terms:
4 + x2 + 8y + 2y2 = -4 + -8y + -2y2 + 4 + 8y + 2y2

Reorder the terms:
4 + x2 + 8y + 2y2 = -4 + 4 + -8y + 8y + -2y2 + 2y2

Combine like terms: -4 + 4 = 0
4 + x2 + 8y + 2y2 = 0 + -8y + 8y + -2y2 + 2y2
4 + x2 + 8y + 2y2 = -8y + 8y + -2y2 + 2y2

Combine like terms: -8y + 8y = 0
4 + x2 + 8y + 2y2 = 0 + -2y2 + 2y2
4 + x2 + 8y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
4 + x2 + 8y + 2y2 = 0

The solution to this equation could not be determined.

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