8x^2+y^2+7z^2=24-16x-12y+14z

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Solution for 8x^2+y^2+7z^2=24-16x-12y+14z equation: 


Simplifying
8x2 + y2 + 7z2 = 24 + -16x + -12y + 14z

Solving
8x2 + y2 + 7z2 = 24 + -16x + -12y + 14z

Solving for variable 'x'.

Reorder the terms:
-24 + 16x + 8x2 + 12y + y2 + -14z + 7z2 = 24 + -16x + -12y + 14z + -24 + 16x + 12y + -14z

Reorder the terms:
-24 + 16x + 8x2 + 12y + y2 + -14z + 7z2 = 24 + -24 + -16x + 16x + -12y + 12y + 14z + -14z

Combine like terms: 24 + -24 = 0
-24 + 16x + 8x2 + 12y + y2 + -14z + 7z2 = 0 + -16x + 16x + -12y + 12y + 14z + -14z
-24 + 16x + 8x2 + 12y + y2 + -14z + 7z2 = -16x + 16x + -12y + 12y + 14z + -14z

Combine like terms: -16x + 16x = 0
-24 + 16x + 8x2 + 12y + y2 + -14z + 7z2 = 0 + -12y + 12y + 14z + -14z
-24 + 16x + 8x2 + 12y + y2 + -14z + 7z2 = -12y + 12y + 14z + -14z

Combine like terms: -12y + 12y = 0
-24 + 16x + 8x2 + 12y + y2 + -14z + 7z2 = 0 + 14z + -14z
-24 + 16x + 8x2 + 12y + y2 + -14z + 7z2 = 14z + -14z

Combine like terms: 14z + -14z = 0
-24 + 16x + 8x2 + 12y + y2 + -14z + 7z2 = 0

The solution to this equation could not be determined.

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