Solve by factoring
2x^2=19x+33

2x^2 - 19x - 33 = 0 

The factors of 2 are 1 x 2. 
The factors of 33 are 1 x 33 and 3 x 11. 

Using Guess and Test and FOIL, find a combination that gives you a middle term of -19x: 

(2x + 3)(x - 11) = 0. 

Using the principal of zero product, solve each equation for x: 

2x + 3 =0 and x - 11 =0. 

The two solutions are x = -3/2 and x = 11.