You can put this solution on YOUR website! (3x+1)(5-10x)>0
15x+5-30x^2-10x>0
-30x^2+5x+5>0
30x^2-5x-5>0
(10x-5)(3x+1)>0
10x-5>0
10x>5
x>5/10
x>.5 answer.
3x+1>0
3x>-1
x>-1/3 answer or x>-.33333.
proof:
let x=-.3
(3*-.3+1)(5-10*-.3)>0
(-.9+1)(5+3)>0
.1*8>0
.8>0