SOLUTION: The formula occurs in the indicated application. Solve for the specified variable. S = p/(q + p(1 − q)) for p (Amdahl's law for supercomputers)

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Question 491710: The formula occurs in the indicated application. Solve for the specified variable.
S = p/(q + p(1 − q))
for p (Amdahl's law for supercomputers)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for the specified variable.
S = p%2F%28q+%2B+p%281+-+q%29%29
solve for p
S = p%2F%28%28q+%2B+p+-+pq%29%29; multiplied what's inside the bracket
:
S(q + p - pq) = p; divided both sides by (q+p-pq)
:
q + p - pq = p%2FS; divided both sides by S
:
q + p - pq - p%2FS = 0; subtract p%2FS from both sides
:
p - pq - p%2FS = -q; subtract q from both sides
:
p(1 - q - 1%2FS) = -q; Factor out p
:
p = -q%2F%281+-+q+-+%281%2FS%29%29; divide both sides by (1 - q - (1/S))