Algebra-Precalculus – Solving Algebraic Equations Involving Fractions

algebra-precalculusproblem solving

How do I rework the following equation to solve for P when I know the other variables? (Apologies, I tried to Google but just couldn't get the right search terms.)

T = ( 1/AP – 1/P ) * Q

I got this far, but don't know the next step(s):

T/Q = 1/AP – 1/P

Cheers.

Best Answer

$$T = \left(\frac{1}{AP} - \frac{1}{P}\right)\,Q=\frac{Q}{P}\left(\frac{1}{A}-1\right)\,.$$

Then

$$P=\frac{Q}{T}\left(\frac{1}{A}-1\right)\,.$$

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