The answer is
B) Twice the original number. Why? because you said.
The student messed up on step one. The proper factoring is (x-4) (x+2)
<span>x in (-oo:+oo)
(8/9)*x = (4/9)*x+8 // - (4/9)*x+8
(8/9)*x-((4/9)*x)-8 = 0
(8/9)*x+(-4/9)*x-8 = 0
4/9*x-8 = 0 // + 8
4/9*x = 8 // : 4/9
x = 8/4/9
x = 18
x = 18
</span>
You got the top part right, but you are missing the bottom it would actually be -56/5 or -56 over 5.