Question

6x^2-43x+72=0

Answer 1

Simplifying
6x2 + -43x + 72

Reorder the terms:
72 + -43x + 6x2

Factor a trinomial.
(8 + -3x)(9 + -2x)

Final result:
(8 + -3x)(9 + -2x)

now equal them to 0:
(8 + -3x)=0
(9 + -2x)=0

solve one by one:
(8 + -3x)=0
subtract 8 from both sides
-3x=-8
divide by -3:
x=-8/-3 or 2.66666666667 LOL
and then the other one:

(9 + -2x)=0
subtract 9 from both sides:
-2x=-9
x=4.5

Answer 2

so x =4.5,-8/-3