Question

solve for s.
( s^2 + 43s = 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 )
save answer

Explanation:

Step1: Factor the equation

Factor out \( s \) from the left - hand side of the equation \( s^{2}+43s = 0 \). Using the distributive property \( ab + ac=a(b + c) \), where \( a = s \), \( b=s \) and \( c = 43 \), we get \( s(s + 43)=0 \).

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 \( s(s + 43)=0 \), we have two cases:
Case 1: \( s=0 \)
Case 2: \( s + 43=0 \). Solving for \( s \) in this case, we subtract 43 from both sides of the equation \( s+43 = 0 \), which gives \( s=- 43 \).

Answer:

\( 0,-43 \)