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

You use the quadratic formula:
[tex]2x {}^{2} - 3x = 5[/tex]
[tex]2x {}^{2} - 3x - 5 = 0[/tex]
[tex]x = \frac{3 + - \sqrt{9 -4(2)( - 5)}}{2 \times 2} [/tex]
[tex]x = \frac{3 + - \sqrt{49} }{4} [/tex]
[tex]x = \frac{3 + 7}{4} \: and \: x = \frac{3 - 7}{4} [/tex]
[tex]x = \frac{5}{2} \: and \: x = - 1[/tex]