Answer
$m=2, 5$
Work Step by Step
$(m-6)^2+5(m-6)+4=0$
$m-6=x$
$(m-6)^2+5(m-6)+4=0$
$x^2+5x+4=0$
$(x+4)(x+1)=0$
$x+4=0$
$x=-4$
$x+1=0$
$x=-1$
$m-6=x$
$x=-4$
$m-6=-4$
$m=2$
$x=-1$
$m-6=-1$
$m=5$
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