x^2*z^2=1

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Solution for x^2*z^2=1 equation: 


Simplifying
x2 * z2 = 1

Multiply x2 * z2
x2z2 = 1

Solving
x2z2 = 1

Solving for variable 'x'.

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

Divide each side by 'z2'.
x2 = z-2

Simplifying
x2 = z-2

Take the square root of each side:
x = {-1z-1, z-1}

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