Solve for s (s-5)(s+3)=0

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

Step 1

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

$s - 5 = 0$

$s + 3 = 0$

Step 2

Set $s - 5$ equal to $0$ and solve for $s$ .

Set $s - 5$ equal to $0$ .

$s - 5 = 0$

Add $5$ to both sides of the equation.

$s = 5$

Step 3

Set $s + 3$ equal to $0$ and solve for $s$ .

Set $s + 3$ equal to $0$ .

$s + 3 = 0$

Subtract $3$ from both sides of the equation.

$s = - 3$

Step 4

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

$s = 5, - 3$