x = [tex]\frac{3}{2}[/tex] ± [tex]\frac{1}{2}[/tex]i
rearrange the equation and equate to zero
2x² - 6x = - 5 ⇒ 2x² - 6x + 5 = 0
this doesn't factor with integers, hence use the quadratic formula to solve
with a = 2, b = - 6 and c = 5
x = (6 ± √(36 - 40 ) )/4
= (6 ± √(-4) ) / 4
= (6 ± 2i ) / 4
x = [tex]\frac{3}{2}[/tex] ± [tex]\frac{1}{2}[/tex]i
