z^2(p^2-q^2)=1

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Solution for z^2(p^2-q^2)=1 equation: 


Simplifying
z2(p2 + -1q2) = 1
(p2 * z2 + -1q2 * z2) = 1
(p2z2 + -1q2z2) = 1

Solving
p2z2 + -1q2z2 = 1

Solving for variable 'p'.

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

Add 'q2z2' to each side of the equation.
p2z2 + -1q2z2 + q2z2 = 1 + q2z2

Combine like terms: -1q2z2 + q2z2 = 0
p2z2 + 0 = 1 + q2z2
p2z2 = 1 + q2z2

Divide each side by 'z2'.
p2 = z-2 + q2

Simplifying
p2 = z-2 + q2

Reorder the terms:
p2 = q2 + z-2

Reorder the terms:
p2 + -1q2 + -1z-2 = q2 + -1q2 + z-2 + -1z-2

Combine like terms: q2 + -1q2 = 0
p2 + -1q2 + -1z-2 = 0 + z-2 + -1z-2
p2 + -1q2 + -1z-2 = z-2 + -1z-2

Combine like terms: z-2 + -1z-2 = 0
p2 + -1q2 + -1z-2 = 0

The solution to this equation could not be determined.

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