Final answer:
To find the solution set for the equation (x - 10)(5x - 10) = x^2 - x^2, we can set each factor equal to 0 and solve for x.
Step-by-step explanation:
To find the solution set for the equation (x - 10)(5x - 10) = x^2 - x^2, we can start by simplifying both sides of the equation. The expression x^2 - x^2 simplifies to 0, so the equation becomes:
(x - 10)(5x - 10) = 0
Now, we can set each factor equal to 0 and solve for x:
x - 10 = 0
5x - 10 = 0
Solving these two equations gives us the solution set:
x = 10
x = 2