# How do you solve by clearing the denominator of 3/x+2/x^2=4?

You may choose ${x}^{2}$ as your common denominator (considering that has to be $x \ne 0$ to avoid a division by zero). You get:
$\frac{3 \cdot x}{x} ^ 2 + \frac{2}{x} ^ 2 = \frac{4 {x}^{2}}{x} ^ 2$
Nultiplying both sides by ${x}^{2}$:
$3 x + 2 = 4 {x}^{2}$
$4 {x}^{2} - 3 x - 2 = 0$