Find all complex solutions of 2x^2+3x+5=0 using the quadratic equation.

2x^2 + 3x + 5 = 0

a = 2 b = 3 and c = 5

x = [-b + - sq root (b^2 - 4ac) ] / 2a

x = [-3 + - sq root (9 - 4*2*5) ] / 4

x = [-3 + - sq root (9 - 40) ] / 4

x = - (3 / 4) + sq root (-36) / 4

x = - (3 / 4) - sq root (-36) / 4