Find the Roots (Zeros) f(x)=-4(x-2)(x-6)

$f (x) = - 4 (x - 2) (x - 6)$

Step 1

Set $- 4 (x - 2) (x - 6)$ equal to $0$ .

$- 4 (x - 2) (x - 6) = 0$

Step 2

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 $0$ .

$x - 2 = 0$

$x - 6 = 0$

Set $x - 2$ equal to $0$ and solve for $x$ .

Set $x - 2$ equal to $0$ .

$x - 2 = 0$

Add $2$ to both sides of the equation.

$x = 2$

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

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

$x - 6 = 0$

Add $6$ to both sides of the equation.

$x = 6$

The final solution is all the values that make $- 4 (x - 2) (x - 6) = 0$ true.

$x = 2, 6$

Step 3