Answer
$2x^3-14x^2+12x\lt0$
$2x(x^2-7x+6)\lt0$
$2x(x-1)(x-6)\lt0$
$x\lt0$ and $1\lt x\lt6$
Work Step by Step
Step 1: Factorize inequality (common factor: $2x$)
Step 2: Factorize expression inside brackets (trinomial)
Step 3: The function is smaller than $0$ for $x\lt0$ and $1\lt x\lt6$
