-3x squared equals 5 plus 3x?

Answer 1

-3x2 = 5 + 3x (add 3x2 to both sides)
0 = 3x2 + 5 + 3x or
3x2 + 3x + 5 = 0 (since the discriminant is less than zero, we have complex roots)
x = [-3 ± √[(32 - 4(3)(5)]]/2(3)
x = [-3 ± √(9 - 60)]/6
x = (-3 ± √-51)/6
x = (-3 ± i√51)/6
x = (-3 + i√51)/6 = -1/2 + (√51/6)i or
x = (-3 - i√51)/6 = -1/2 - (√51/6)i