Regroup terms.
\[\begin{aligned}&2\imath fa=3B=4C\\&\frac{a}{b}-\frac{b}{c}\end{aligned}\]
Rewrite the expression with a common denominator.
\[\begin{aligned}&2\imath fa=3B=4C\\&\frac{ac-bb}{bc}\end{aligned}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\begin{aligned}&2\imath fa=3B=4C\\&\frac{ac-{b}^{2}}{bc}\end{aligned}\]
Divide both sides by \(2\).
\[\imath fa=\frac{3B}{2}\]
Divide both sides by \(\imath \).
\[fa=\frac{\frac{3B}{2}}{\imath }\]
Simplify \(\frac{\frac{3B}{2}}{\imath }\) to \(\frac{3B}{2\imath }\).
\[fa=\frac{3B}{2\imath }\]
Divide both sides by \(a\).
\[f=\frac{\frac{3B}{2\imath }}{a}\]
Simplify \(\frac{\frac{3B}{2\imath }}{a}\) to \(\frac{3B}{2\imath a}\).
\[f=\frac{3B}{2\imath a}\]
f=(3*B)/(2*IM*a)
