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

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

First factor: X = 0
Second factor: x + 5 = 0

For the first factor, X = 0, there is no specific value for x since X is not defined in the equation. We can consider it as a constant.

For the second factor, x + 5 = 0, we can solve for x by subtracting 5 from both sides of the equation:

x + 5 - 5 = 0 - 5
x = -5

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