Question

solve for s.
$s^{2}+20s = 0$
write each solution as an integer, proper fraction, or improper fraction in simplest form. if there are multiple solutions, separate them with commas.
$s = \square$
submit

Explanation:

Step1: Factor the equation

We can factor out an \( s \) from the left - hand side of the equation \( s^{2}+20s = 0 \). Using the distributive property \( ab + ac=a(b + c) \), where \( a = s \), \( b=s \) and \( c = 20 \), we get \( s(s + 20)=0 \).

Step2: Apply the zero - product property

The zero - product property states that if \( ab=0 \), then either \( a = 0 \) or \( b = 0 \) (or both). So, for the equation \( s(s + 20)=0 \), we have two cases:

• Case 1: \( s=0 \)
• Case 2: \( s + 20=0 \). To solve for \( s \) in this case, we subtract 20 from both sides of the equation \( s+20 = 0 \). So \( s=- 20 \).

Answer:

\(0, - 20\)