Question 380266
Taking square root of both sides, we have {{{2m - 3 = sqrt(-5) = sqrt(5)i or -sqrt(5)i}}}

Either:

{{{2m - 3 = sqrt(5)i}}} --> {{{m = 3/2 + (sqrt(5)/2)i}}}
{{{2m - 3 = -sqrt(5)i}}} --> {{{m = 3/2 - (sqrt(5)/2)i}}}

This can also be done using the quadratic formula.