Find the Roots (Zeros) f(x)=(x+6)(x+8)(x+15)

$f (x) = (x + 6) (x + 8) (x + 15)$

Set $(x + 6) (x + 8) (x + 15)$ equal to $0$ .

$(x + 6) (x + 8) (x + 15) = 0$

Solve for $x$ .

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x + 6 = 0$

$x + 8 = 0$

$x + 15 = 0$

Set $x + 6$ equal to $0$ and solve for $x$ .

Set $x + 6$ equal to $0$ .

$x + 6 = 0$

Subtract $6$ from both sides of the equation.

$x = - 6$

Set $x + 8$ equal to $0$ and solve for $x$ .

Set $x + 8$ equal to $0$ .

$x + 8 = 0$

Subtract $8$ from both sides of the equation.

$x = - 8$

Set $x + 15$ equal to $0$ and solve for $x$ .

Set $x + 15$ equal to $0$ .

$x + 15 = 0$

Subtract $15$ from both sides of the equation.

$x = - 15$

The final solution is all the values that make $(x + 6) (x + 8) (x + 15) = 0$ true.

$x = - 6, - 8, - 15$