Question 491710
Solve for the specified variable.
S = {{{p/(q + p(1 - q))}}}
solve for p
S = {{{p/((q + p - pq))}}}; multiplied what's inside the bracket
:
S(q + p - pq) = p; divided both sides by (q+p-pq)
:
q + p - pq = {{{p/S}}}; divided both sides by S
:
q + p - pq - {{{p/S}}} = 0; subtract {{{p/S}}} from both sides
:
p - pq - {{{p/S}}} = -q; subtract q from both sides
:
p(1 - q - {{{1/S}}}) = -q; Factor out p
:
p = {{{-q/(1 - q - (1/S))}}}; divide both sides by (1 - q - (1/S))