Possible rational zeros include factors of 30 (which are 1, 2, 3, 5, 6, 10, 15, 30, -1, -2, -3, -5, -6, -10, -15, and -30) divided by factors of 2 (which are 1, 2, -1, and -2). Therefore, by synthetic division, divide 2x^3-19x^2+50x+30 by each of the following numbers, one at a time, in this order: 1, 2, 3, 5, 6, 10, 15, 30, -1, -2, -3, -5, -6, -10, -15, -30, 1/2, 3/2, 5/2, 15/2, -1/2, -3/2, -5,2, and -15/2. When you divide by -1/2 (your 21st division), you will have a remainder of zero. After this division, you will have a new quadratic equation. Check to see if it has any roots by the quadratic formula.