(x−a)5(x−b)=0

Sure, I can help with that. The given equation is (x−a)5(x−b)=0.

Step 1: Understand the equation This is a product of two factors equal to zero. According to the zero product property, if a product of factors is zero, then at least one of the factors must be zero.

Step 2: Set each factor equal to zero So, we set each factor equal to zero and solve for x:

(x−a)5 = 0 (x−b) = 0

Step 3: Solve for x Solving these equations gives:

x = a x = b

So, the solutions to the equation (x−a)5(x−b)=0 are x = a and x = b.