You can 
put this solution on YOUR website! Solve by using the quadratic formula. 
              5x² + x = 3
              5x² + x = 3
Get 0 on the right by subtracting 3 from both sides
           5x² + x - 3 = 0
Use the quadratic formula:
                  ______ 
            -b ± Öb²-4ac
        x = —————————————
                2a 
where a = 5; b = 1; c = -3
                     _____________
             -(1) ± Ö(1)²-4(5)(-3)
        x = ————————————————————————
                     2(5) 
                   ____ 
             -1 ± Ö1+60
        x = —————————————
                 10
                   __ 
             -1 ± Ö61
        x = ———————————
                10 
                      
Using the + and a calculator, one solution equals 
about .6810249878.
                       
Using the - and a calculator, the other solution 
equals about -.8810249676.
Edwin