Apply the distributive property
(x-10)*(x) + (x-10)*(-6)=-3
(x2-10x)+(-6x+60)=-3
x2-10x-6x+60=-3
x2-16x+60=-3
x2-16x+63=0
x2-(9+7)x+63=0
x2-9x-7x+63=0
x(x-9)-7(x-9)=0
(x-9)(x-7)=0
(x-9)=0 or (x-7)=0
x=9 and x=7