Question

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

Answer 1

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Answer:

x = 0 or -2 or -6

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.