Find the Roots (Zeros) y=5(x-3)(x+5)

$y = 5 (x - 3) (x + 5)$

Set $5 (x - 3) (x + 5)$ equal to $0$ .

$5 (x - 3) (x + 5) = 0$

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 $0$ .

$x - 3 = 0$

$x + 5 = 0$

Set $x - 3$ equal to $0$ and solve for $x$ .

Set $x - 3$ equal to $0$ .

$x - 3 = 0$

Add $3$ to both sides of the equation.

$x = 3$

Set $x + 5$ equal to $0$ and solve for $x$ .

Set $x + 5$ equal to $0$ .

$x + 5 = 0$

Subtract $5$ from both sides of the equation.

$x = - 5$

The final solution is all the values that make $5 (x - 3) (x + 5) = 0$ true.

$x = 3, - 5$