Difficulty with partial fraction decomp.

[ptabor]

I have an equation of the following form:
$$\frac {dz}{z^2 - z}$$

Of course, I factor this into:
$$(z + \sqrt{z})(z - \sqrt{z})$$

then,
$$\frac{A}{z + \sqrt{z}} + \frac{B}{z - \sqrt{z}}$$

of course cross multiply the denominators to get:
$$A(z - \sqrt{z}) + B(z + \sqrt{z}) = 1$$

But then what? do I equate the z terms to 1 and the square root terms to 0?

 

[ptabor]

nevermind

nevermind, my factorization was wrong.

 

[Curious3141]

Yeah, z(z-1) would've been better.