x^2+3y^2-6z^2-54=0

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Solution for x^2+3y^2-6z^2-54=0 equation:


Simplifying
x2 + 3y2 + -6z2 + -54 = 0

Reorder the terms:
-54 + x2 + 3y2 + -6z2 = 0

Solving
-54 + x2 + 3y2 + -6z2 = 0

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + x2 + 3y2 + 54 + -6z2 = 0 + 54

Reorder the terms:
-54 + 54 + x2 + 3y2 + -6z2 = 0 + 54

Combine like terms: -54 + 54 = 0
0 + x2 + 3y2 + -6z2 = 0 + 54
x2 + 3y2 + -6z2 = 0 + 54

Combine like terms: 0 + 54 = 54
x2 + 3y2 + -6z2 = 54

Add '-3y2' to each side of the equation.
x2 + 3y2 + -3y2 + -6z2 = 54 + -3y2

Combine like terms: 3y2 + -3y2 = 0
x2 + 0 + -6z2 = 54 + -3y2
x2 + -6z2 = 54 + -3y2

Add '6z2' to each side of the equation.
x2 + -6z2 + 6z2 = 54 + -3y2 + 6z2

Combine like terms: -6z2 + 6z2 = 0
x2 + 0 = 54 + -3y2 + 6z2
x2 = 54 + -3y2 + 6z2

Simplifying
x2 = 54 + -3y2 + 6z2

Reorder the terms:
-54 + x2 + 3y2 + -6z2 = 54 + -3y2 + 6z2 + -54 + 3y2 + -6z2

Reorder the terms:
-54 + x2 + 3y2 + -6z2 = 54 + -54 + -3y2 + 3y2 + 6z2 + -6z2

Combine like terms: 54 + -54 = 0
-54 + x2 + 3y2 + -6z2 = 0 + -3y2 + 3y2 + 6z2 + -6z2
-54 + x2 + 3y2 + -6z2 = -3y2 + 3y2 + 6z2 + -6z2

Combine like terms: -3y2 + 3y2 = 0
-54 + x2 + 3y2 + -6z2 = 0 + 6z2 + -6z2
-54 + x2 + 3y2 + -6z2 = 6z2 + -6z2

Combine like terms: 6z2 + -6z2 = 0
-54 + x2 + 3y2 + -6z2 = 0

The solution to this equation could not be determined.

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