To solve the equation (5x+20)*(-x+5) = 0, we can use the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.

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

1) 5x + 20 = 0
Subtract 20 from both sides:
5x = -20
Divide both sides by 5:
x = -4

2) -x + 5 = 0
Add x to both sides:
5 = x

Therefore, the solutions to the equation (5x+20)*(-x+5) = 0 are x = -4 and x = 5.