Solve the equation $\frac{1}{3}x^2 = 3x$. Answer x = ... or ...

1. Clear the fraction and rearrange the quadratic equation to equal zero.

$\dfrac{1}{3}x^2=3x$

Multiply both sides by $3$:

$x^2=9x$

$x^2-9x=0$

2. Factorise the quadratic expression.

$x^2-9x=0$

$x(x-9)=0$

3. Use the zero product property to find both solutions.

$x(x-9)=0$

So $x=0$ or $x-9=0$.

Hence $x=0$ or $x=9$.