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