Answer
$-78-62i$
Work Step by Step
$(8-3i)(-6-10i)\qquad$ ...use the FOIL method.
$=8\cdot(-6)+8\cdot(-10i)+(-3i)\cdot(-6)+(-3i)\cdot(-10i)\qquad$ ...simplify.
$=-48-80i+18i+30i^{2}\qquad$ ...simplify. ($i^{2}=-1$)
$=-48-80i+18i-30\qquad$ ...group like terms.
$=-48-30-80i+18i\qquad$ ...simplify.
$=-78-62i$