-3x^2+6y-z^2-18=0

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Solution for -3x^2+6y-z^2-18=0 equation: 


Simplifying
-3x2 + 6y + -1z2 + -18 = 0

Reorder the terms:
-18 + -3x2 + 6y + -1z2 = 0

Solving
-18 + -3x2 + 6y + -1z2 = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + -3x2 + 6y + 18 + -1z2 = 0 + 18

Reorder the terms:
-18 + 18 + -3x2 + 6y + -1z2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -3x2 + 6y + -1z2 = 0 + 18
-3x2 + 6y + -1z2 = 0 + 18

Combine like terms: 0 + 18 = 18
-3x2 + 6y + -1z2 = 18

Add '-6y' to each side of the equation.
-3x2 + 6y + -6y + -1z2 = 18 + -6y

Combine like terms: 6y + -6y = 0
-3x2 + 0 + -1z2 = 18 + -6y
-3x2 + -1z2 = 18 + -6y

Add 'z2' to each side of the equation.
-3x2 + -1z2 + z2 = 18 + -6y + z2

Combine like terms: -1z2 + z2 = 0
-3x2 + 0 = 18 + -6y + z2
-3x2 = 18 + -6y + z2

Divide each side by '-3'.
x2 = -6 + 2y + -0.3333333333z2

Simplifying
x2 = -6 + 2y + -0.3333333333z2

Reorder the terms:
6 + x2 + -2y + 0.3333333333z2 = -6 + 2y + -0.3333333333z2 + 6 + -2y + 0.3333333333z2

Reorder the terms:
6 + x2 + -2y + 0.3333333333z2 = -6 + 6 + 2y + -2y + -0.3333333333z2 + 0.3333333333z2

Combine like terms: -6 + 6 = 0
6 + x2 + -2y + 0.3333333333z2 = 0 + 2y + -2y + -0.3333333333z2 + 0.3333333333z2
6 + x2 + -2y + 0.3333333333z2 = 2y + -2y + -0.3333333333z2 + 0.3333333333z2

Combine like terms: 2y + -2y = 0
6 + x2 + -2y + 0.3333333333z2 = 0 + -0.3333333333z2 + 0.3333333333z2
6 + x2 + -2y + 0.3333333333z2 = -0.3333333333z2 + 0.3333333333z2

Combine like terms: -0.3333333333z2 + 0.3333333333z2 = 0.0000000000
6 + x2 + -2y + 0.3333333333z2 = 0.0000000000

The solution to this equation could not be determined.

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