2x^2-3= -93 original equation

2x^2= - 90 add 3 to each side

x^2= -45 divide each side by 2

x= + or - square root(SR) of -45 take the square root of both sides

x= + or - SR of -9 times SR 5 product property

x= + or - 3i SR of 5 simplify