Answer
$h = -5, -2/3$
Work Step by Step
$3h^2+17h=-10$
$3h^2+17h+10=-10+10$
$3h^2+17h+10=0$
$3h^2+15h+2h+10=0$
$3h(h+5)+2(h+5)=0$
$(h+5)(3h+2)=0$
$h+5 =0$
$h+5-5 = 0-5$
$h = -5$
$3h+2=0$
$3h+2-2 = 0-2$
$3h=-2$
$3h/3 = -2/3$
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