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,
<br /> \frac{A}{z + \sqrt{z}} + \frac{B}{z - \sqrt{z}}<br />

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.