Expand the Expression: 5x(x+2)(x+5) - Polynomial Multiplication

Let's solve the given equation, noting that on the right side of the given equation is the number 0, and on the left side is a multiplication of algebraic expressions only:

$5x(x+2)(x+5)= 0$From here we'll remember that the result of multiplication between expressions will yield 0 only if at least one of the multiplying expressions equals zero,

Therefore we'll get three simple equations and solve them by isolating the variable in each:

$\boxed{x=0}$or:

$x+2=0\\ \boxed{x=-2}$

or:

$x+5=0\\ \boxed{x=-5}$

Therefore the correct answer is answer D.