2x^2+Y^2+8z^2=17

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Solution for 2x^2+Y^2+8z^2=17 equation:


Simplifying
2x2 + Y2 + 8z2 = 17

Reorder the terms:
Y2 + 2x2 + 8z2 = 17

Solving
Y2 + 2x2 + 8z2 = 17

Solving for variable 'Y'.

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

Add '-2x2' to each side of the equation.
Y2 + 2x2 + -2x2 + 8z2 = 17 + -2x2

Combine like terms: 2x2 + -2x2 = 0
Y2 + 0 + 8z2 = 17 + -2x2
Y2 + 8z2 = 17 + -2x2

Add '-8z2' to each side of the equation.
Y2 + 8z2 + -8z2 = 17 + -2x2 + -8z2

Combine like terms: 8z2 + -8z2 = 0
Y2 + 0 = 17 + -2x2 + -8z2
Y2 = 17 + -2x2 + -8z2

Simplifying
Y2 = 17 + -2x2 + -8z2

Reorder the terms:
-17 + Y2 + 2x2 + 8z2 = 17 + -2x2 + -8z2 + -17 + 2x2 + 8z2

Reorder the terms:
-17 + Y2 + 2x2 + 8z2 = 17 + -17 + -2x2 + 2x2 + -8z2 + 8z2

Combine like terms: 17 + -17 = 0
-17 + Y2 + 2x2 + 8z2 = 0 + -2x2 + 2x2 + -8z2 + 8z2
-17 + Y2 + 2x2 + 8z2 = -2x2 + 2x2 + -8z2 + 8z2

Combine like terms: -2x2 + 2x2 = 0
-17 + Y2 + 2x2 + 8z2 = 0 + -8z2 + 8z2
-17 + Y2 + 2x2 + 8z2 = -8z2 + 8z2

Combine like terms: -8z2 + 8z2 = 0
-17 + Y2 + 2x2 + 8z2 = 0

The solution to this equation could not be determined.

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