Find the Roots (Zeros) y=-2(x-2)(x-10)

$y = - 2 (x - 2) (x - 10)$

Step 1

Set $- 2 (x - 2) (x - 10)$ equal to $0$ .

$- 2 (x - 2) (x - 10) = 0$

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 $0$ .

$x - 2 = 0$

$x - 10 = 0$

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 $x - 10$ equal to $0$ and solve for $x$ .

Set $x - 10$ equal to $0$ .

$x - 10 = 0$

Add $10$ to both sides of the equation.

$x = 10$

The final solution is all the values that make $- 2 (x - 2) (x - 10) = 0$ true.

$x = 2, 10$

Step 3