1) Let's factor that by grouping, since any quadratic equation can be rewritten in a factored form:
12x² -9x +16x -12
2) Grouping terms, by placing parentheses
(12x² -9x)+(16x-12)
3) Let's now find the Greatest Common between those terms and factor out and placing them outside the parentheses
3x(4x-3) +4(4x-3)
4) Rewriting it a product
(3x+4)(4x -3)