x^2-4y^2-4z^2=1

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Solution for x^2-4y^2-4z^2=1 equation: 


Simplifying
x2 + -4y2 + -4z2 = 1

Solving
x2 + -4y2 + -4z2 = 1

Solving for variable 'x'.

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

Add '4y2' to each side of the equation.
x2 + -4y2 + 4y2 + -4z2 = 1 + 4y2

Combine like terms: -4y2 + 4y2 = 0
x2 + 0 + -4z2 = 1 + 4y2
x2 + -4z2 = 1 + 4y2

Add '4z2' to each side of the equation.
x2 + -4z2 + 4z2 = 1 + 4y2 + 4z2

Combine like terms: -4z2 + 4z2 = 0
x2 + 0 = 1 + 4y2 + 4z2
x2 = 1 + 4y2 + 4z2

Simplifying
x2 = 1 + 4y2 + 4z2

Reorder the terms:
-1 + x2 + -4y2 + -4z2 = 1 + 4y2 + 4z2 + -1 + -4y2 + -4z2

Reorder the terms:
-1 + x2 + -4y2 + -4z2 = 1 + -1 + 4y2 + -4y2 + 4z2 + -4z2

Combine like terms: 1 + -1 = 0
-1 + x2 + -4y2 + -4z2 = 0 + 4y2 + -4y2 + 4z2 + -4z2
-1 + x2 + -4y2 + -4z2 = 4y2 + -4y2 + 4z2 + -4z2

Combine like terms: 4y2 + -4y2 = 0
-1 + x2 + -4y2 + -4z2 = 0 + 4z2 + -4z2
-1 + x2 + -4y2 + -4z2 = 4z2 + -4z2

Combine like terms: 4z2 + -4z2 = 0
-1 + x2 + -4y2 + -4z2 = 0

The solution to this equation could not be determined.

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