Solve for p
p=-\frac{q}{q+1}
q\neq -1
Solve for q
q=-\frac{p}{p+1}
p\neq -1
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pq+p=-q
Subtract q from both sides. Anything subtracted from zero gives its negation.
\left(q+1\right)p=-q
Combine all terms containing p.
\frac{\left(q+1\right)p}{q+1}=-\frac{q}{q+1}
Divide both sides by q+1.
p=-\frac{q}{q+1}
Dividing by q+1 undoes the multiplication by q+1.
pq+q=-p
Subtract p from both sides. Anything subtracted from zero gives its negation.
\left(p+1\right)q=-p
Combine all terms containing q.
\frac{\left(p+1\right)q}{p+1}=-\frac{p}{p+1}
Divide both sides by p+1.
q=-\frac{p}{p+1}
Dividing by p+1 undoes the multiplication by p+1.
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