Answer
$x=5/8, 2$
Work Step by Step
$2*(4m-3)^2-9(4m-3)=5$
$2*(4m*4m+4m*(-3)+4m*(-3)+(-3)(-3))-36m+27=5$
$2*(16m^2-12m-12m+9)-36m+22=0$
$2*(16m^2-24m+9)-36m+22=0$
$32m^2-48m+18-36m+22=0$
$32m^2-84m+40=0$
$(32m^2-84m+40=0)/4$
$8m^2-21m+10=0$
$x=(-b±\sqrt {b^2-4ac})/2a$
$x=(-(-21)±\sqrt {(-21)^2-4*8*10})/2*8$
$x=(21±\sqrt {441-320})/16$
$x=(21±\sqrt {121})/16$
$x=(21±11)/16$
$x=(21±11)/16$
$x=(21+11)/16$
$x=32/16$
$x=2$
$x=(21±11)/16$
$x=(21-11)/16$
$x=10/16$
$x=5/8$
