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Q.)  (x-10)(x-6)=-3

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Ans.1)  (x-10)(x-6)=-3

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