Answer
The solutions are $x=-\dfrac{2}{3}$ and $x=2$
Work Step by Step
$3x^{2}-4x=4$
Take the $4$ to the left side:
$3x^{2}-4x-4=0$
Solve this equation by factoring:
$(3x+2)(x-2)=0$
Set both factors equal to $0$ and solve both individual equations for $x$:
$3x+2=0$
$3x=-2$
$x=-\dfrac{2}{3}$
$x-2=0$
$x=2$
The solutions are $x=-\dfrac{2}{3}$ and $x=2$