Rearrange formulas to isolate a chosen quantity, including formulas with quadratic terms.
Solve a formula for a variable in the denominator
Problem
Given \(r=d/t\) with \(r\) and \(d\) nonzero, isolate the denominator variable \(t\). Clear the fraction and then divide by the coefficient attached to \(t\).
Big Picture
What this problem is really about
Because the target variable is in a denominator, we first record the nonzero restrictions and clear the fraction by multiplication. That turns the formula into a product equation, which we can solve by dividing by the target’s nonzero coefficient and then checking the quotient in the original rational form.
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