x^2+2y^2-3z^2-1=0

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Solution for x^2+2y^2-3z^2-1=0 equation:


Simplifying
x2 + 2y2 + -3z2 + -1 = 0

Reorder the terms:
-1 + x2 + 2y2 + -3z2 = 0

Solving
-1 + x2 + 2y2 + -3z2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + x2 + 2y2 + 1 + -3z2 = 0 + 1

Reorder the terms:
-1 + 1 + x2 + 2y2 + -3z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x2 + 2y2 + -3z2 = 0 + 1
x2 + 2y2 + -3z2 = 0 + 1

Combine like terms: 0 + 1 = 1
x2 + 2y2 + -3z2 = 1

Add '-2y2' to each side of the equation.
x2 + 2y2 + -2y2 + -3z2 = 1 + -2y2

Combine like terms: 2y2 + -2y2 = 0
x2 + 0 + -3z2 = 1 + -2y2
x2 + -3z2 = 1 + -2y2

Add '3z2' to each side of the equation.
x2 + -3z2 + 3z2 = 1 + -2y2 + 3z2

Combine like terms: -3z2 + 3z2 = 0
x2 + 0 = 1 + -2y2 + 3z2
x2 = 1 + -2y2 + 3z2

Simplifying
x2 = 1 + -2y2 + 3z2

Reorder the terms:
-1 + x2 + 2y2 + -3z2 = 1 + -2y2 + 3z2 + -1 + 2y2 + -3z2

Reorder the terms:
-1 + x2 + 2y2 + -3z2 = 1 + -1 + -2y2 + 2y2 + 3z2 + -3z2

Combine like terms: 1 + -1 = 0
-1 + x2 + 2y2 + -3z2 = 0 + -2y2 + 2y2 + 3z2 + -3z2
-1 + x2 + 2y2 + -3z2 = -2y2 + 2y2 + 3z2 + -3z2

Combine like terms: -2y2 + 2y2 = 0
-1 + x2 + 2y2 + -3z2 = 0 + 3z2 + -3z2
-1 + x2 + 2y2 + -3z2 = 3z2 + -3z2

Combine like terms: 3z2 + -3z2 = 0
-1 + x2 + 2y2 + -3z2 = 0

The solution to this equation could not be determined.

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