-16x^2+y^2+4z^2-32=0

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Solution for -16x^2+y^2+4z^2-32=0 equation: 


Simplifying
-16x2 + y2 + 4z2 + -32 = 0

Reorder the terms:
-32 + -16x2 + y2 + 4z2 = 0

Solving
-32 + -16x2 + y2 + 4z2 = 0

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + -16x2 + y2 + 32 + 4z2 = 0 + 32

Reorder the terms:
-32 + 32 + -16x2 + y2 + 4z2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -16x2 + y2 + 4z2 = 0 + 32
-16x2 + y2 + 4z2 = 0 + 32

Combine like terms: 0 + 32 = 32
-16x2 + y2 + 4z2 = 32

Add '-1y2' to each side of the equation.
-16x2 + y2 + -1y2 + 4z2 = 32 + -1y2

Combine like terms: y2 + -1y2 = 0
-16x2 + 0 + 4z2 = 32 + -1y2
-16x2 + 4z2 = 32 + -1y2

Add '-4z2' to each side of the equation.
-16x2 + 4z2 + -4z2 = 32 + -1y2 + -4z2

Combine like terms: 4z2 + -4z2 = 0
-16x2 + 0 = 32 + -1y2 + -4z2
-16x2 = 32 + -1y2 + -4z2

Divide each side by '-16'.
x2 = -2 + 0.0625y2 + 0.25z2

Simplifying
x2 = -2 + 0.0625y2 + 0.25z2

Reorder the terms:
2 + x2 + -0.0625y2 + -0.25z2 = -2 + 0.0625y2 + 0.25z2 + 2 + -0.0625y2 + -0.25z2

Reorder the terms:
2 + x2 + -0.0625y2 + -0.25z2 = -2 + 2 + 0.0625y2 + -0.0625y2 + 0.25z2 + -0.25z2

Combine like terms: -2 + 2 = 0
2 + x2 + -0.0625y2 + -0.25z2 = 0 + 0.0625y2 + -0.0625y2 + 0.25z2 + -0.25z2
2 + x2 + -0.0625y2 + -0.25z2 = 0.0625y2 + -0.0625y2 + 0.25z2 + -0.25z2

Combine like terms: 0.0625y2 + -0.0625y2 = 0.0000
2 + x2 + -0.0625y2 + -0.25z2 = 0.0000 + 0.25z2 + -0.25z2
2 + x2 + -0.0625y2 + -0.25z2 = 0.25z2 + -0.25z2

Combine like terms: 0.25z2 + -0.25z2 = 0.00
2 + x2 + -0.0625y2 + -0.25z2 = 0.00

The solution to this equation could not be determined.

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