3x^2+3y^2+3z^2-12x+24y-6z-45=0

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Solution for 3x^2+3y^2+3z^2-12x+24y-6z-45=0 equation: 


Simplifying
3x2 + 3y2 + 3z2 + -12x + 24y + -6z + -45 = 0

Reorder the terms:
-45 + -12x + 3x2 + 24y + 3y2 + -6z + 3z2 = 0

Solving
-45 + -12x + 3x2 + 24y + 3y2 + -6z + 3z2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + -4x + x2 + 8y + y2 + -2z + z2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-15 + -4x + x2 + 8y + y2 + -2z + z2)' equal to zero and attempt to solve:

Simplifying
-15 + -4x + x2 + 8y + y2 + -2z + z2 = 0

Solving
-15 + -4x + x2 + 8y + y2 + -2z + z2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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