48102-(x^2+y^2+z^2)=0

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Solution for 48102-(x^2+y^2+z^2)=0 equation:


Simplifying
48102 + -1(x2 + y2 + z2) = 0
48102 + (x2 * -1 + y2 * -1 + z2 * -1) = 0
48102 + (-1x2 + -1y2 + -1z2) = 0

Solving
48102 + -1x2 + -1y2 + -1z2 = 0

Solving for variable 'x'.

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

Add '-48102' to each side of the equation.
48102 + -1x2 + -1y2 + -48102 + -1z2 = 0 + -48102

Reorder the terms:
48102 + -48102 + -1x2 + -1y2 + -1z2 = 0 + -48102

Combine like terms: 48102 + -48102 = 0
0 + -1x2 + -1y2 + -1z2 = 0 + -48102
-1x2 + -1y2 + -1z2 = 0 + -48102

Combine like terms: 0 + -48102 = -48102
-1x2 + -1y2 + -1z2 = -48102

Add 'y2' to each side of the equation.
-1x2 + -1y2 + y2 + -1z2 = -48102 + y2

Combine like terms: -1y2 + y2 = 0
-1x2 + 0 + -1z2 = -48102 + y2
-1x2 + -1z2 = -48102 + y2

Add 'z2' to each side of the equation.
-1x2 + -1z2 + z2 = -48102 + y2 + z2

Combine like terms: -1z2 + z2 = 0
-1x2 + 0 = -48102 + y2 + z2
-1x2 = -48102 + y2 + z2

Divide each side by '-1'.
x2 = 48102 + -1y2 + -1z2

Simplifying
x2 = 48102 + -1y2 + -1z2

Reorder the terms:
-48102 + x2 + y2 + z2 = 48102 + -1y2 + -1z2 + -48102 + y2 + z2

Reorder the terms:
-48102 + x2 + y2 + z2 = 48102 + -48102 + -1y2 + y2 + -1z2 + z2

Combine like terms: 48102 + -48102 = 0
-48102 + x2 + y2 + z2 = 0 + -1y2 + y2 + -1z2 + z2
-48102 + x2 + y2 + z2 = -1y2 + y2 + -1z2 + z2

Combine like terms: -1y2 + y2 = 0
-48102 + x2 + y2 + z2 = 0 + -1z2 + z2
-48102 + x2 + y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-48102 + x2 + y2 + z2 = 0

The solution to this equation could not be determined.

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