Answer
$m=8, -5/4$
Work Step by Step
$4m^2-27m-40=0$
$4m^2+5m-32m-40=0$
$m(4m+5)-8(4m+5)=0$
$(m-8)(4m+5) = 0$
$m-8 = 0$
$m-8+8 = 0+8$
$m = 8$
$4m+5 = 0$
$4m+5-5 = 0-5$
$4m = -5$
$4m/4 = -5/4$
$m = -5/4$
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