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How to factor 2x^2+5x-3?

I have the question factor this problem, 2x^2+5x-3. And I was told to multiply 2 by -3, which the answer is -6. And then add the factors of -6 to get the middle number. Which -1 plus 6 is 5 for 5x. But when I put (x-1)(x+6) I don't get 2x^2+5x-3. What am I doing wrong?
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1 Answer

 2 X2 + 5X - 3 =0        have to chose 2 numbers whose product is -3( 2) = -6
                                       and sum = 5 = 6 -1
 
                                              +6 , -1
 
   Break 5X to 6X - X
 
     2X2 + 6X - x - 3 =0
 
      2X( X + 3 ) - ( X + 3) = 0        Factor by grouping
 
      ( X + 3 ) ( 2X -1 ) = 0
 
        X +3 = 0    X =-3        2X -1 = 0    X = 1/2