What is the solution set of 2x2-3x=5

You use the quadratic formula:

2x {}^{2} - 3x = 5

2x {}^{2} - 3x - 5 = 0

x = \frac{3 + - \sqrt{9 -4(2)( - 5)}}{2 \times 2}  

x = \frac{3 + - \sqrt{49} }{4}  

x = \frac{3 + 7}{4} \: and \: x = \frac{3 - 7}{4}  

x = \frac{5}{2} \: and \: x = - 1