What are the solutions to the equation? x2(x+2)(x+6)=0 Enter your answers in the boxes. x = or x = or x =

9514 1404 393

  x = 0 or -2 or -6

Step-by-step explanation:

The zero product rule tells you the product will only be zero if one or more factors is zero. Thus, solutions are values of x that will make one or more factors zero.

  x² = 0   ⇒   x = 0

  (x +2) = 0   ⇒   x = -2

  (x +6) = 0   ⇒   x = -6

The solutions are x = 0 or x = -2 or x = -6.