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

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


Simplifying
2x2 + z2 + -4y + -8 = 0

Reorder the terms:
-8 + 2x2 + -4y + z2 = 0

Solving
-8 + 2x2 + -4y + z2 = 0

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 + 2x2 + -4y + 8 + z2 = 0 + 8

Reorder the terms:
-8 + 8 + 2x2 + -4y + z2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2x2 + -4y + z2 = 0 + 8
2x2 + -4y + z2 = 0 + 8

Combine like terms: 0 + 8 = 8
2x2 + -4y + z2 = 8

Add '4y' to each side of the equation.
2x2 + -4y + 4y + z2 = 8 + 4y

Combine like terms: -4y + 4y = 0
2x2 + 0 + z2 = 8 + 4y
2x2 + z2 = 8 + 4y

Add '-1z2' to each side of the equation.
2x2 + z2 + -1z2 = 8 + 4y + -1z2

Combine like terms: z2 + -1z2 = 0
2x2 + 0 = 8 + 4y + -1z2
2x2 = 8 + 4y + -1z2

Divide each side by '2'.
x2 = 4 + 2y + -0.5z2

Simplifying
x2 = 4 + 2y + -0.5z2

Reorder the terms:
-4 + x2 + -2y + 0.5z2 = 4 + 2y + -0.5z2 + -4 + -2y + 0.5z2

Reorder the terms:
-4 + x2 + -2y + 0.5z2 = 4 + -4 + 2y + -2y + -0.5z2 + 0.5z2

Combine like terms: 4 + -4 = 0
-4 + x2 + -2y + 0.5z2 = 0 + 2y + -2y + -0.5z2 + 0.5z2
-4 + x2 + -2y + 0.5z2 = 2y + -2y + -0.5z2 + 0.5z2

Combine like terms: 2y + -2y = 0
-4 + x2 + -2y + 0.5z2 = 0 + -0.5z2 + 0.5z2
-4 + x2 + -2y + 0.5z2 = -0.5z2 + 0.5z2

Combine like terms: -0.5z2 + 0.5z2 = 0.0
-4 + x2 + -2y + 0.5z2 = 0.0

The solution to this equation could not be determined.

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