Question 106453
Solve for c:
{{{a/(b+(c/d)) = c}}} First multiply both sides by the denominator of the left side.
{{{a = c(b+(c/d))}}} Now simplify the contents of the parentheses.
{{{a = c((bd+c)/d)}}} Multiply both sides by d.
{{{ad = c(bd+c)}}} Apply the distributive property on the right side.
{{{ad = cbd+c^2}}} Now rewrite this in the standard form of a quadratic equation in c.
{{{c^2+(bd)c-ad = 0}}} Now you can use the quadratic formula to solve for c.
{{{c = (-bd+-sqrt((bd)^2-4(-ad)))/2}}}
{{{c = (-bd+-sqrt((bd)^2+4ad))/2}}}