Question
Solve for s.
s(s + 5) = 0
Write your answers as integers or as proper or improper fractions in simplest form.
s =
or s =
s(s + 5) = 0
Write your answers as integers or as proper or improper fractions in simplest form.
s =
or s =
Answers
GPT-4o mini
To solve the equation \( s(s + 5) = 0 \), we can use the property that if the product of two factors is zero, at least one of the factors must be zero.
This gives us two cases to consider:
1. \( s = 0 \)
2. \( s + 5 = 0 \)
For the second case, we can solve for \( s \):
\[
s + 5 = 0 \implies s = -5
\]
Thus, the solutions to the equation \( s(s + 5) = 0 \) are:
\[
s = 0 \quad \text{or} \quad s = -5
\]
In conclusion, the answers are:
\[
s = 0 \quad \text{or} \quad s = -5
\]
This gives us two cases to consider:
1. \( s = 0 \)
2. \( s + 5 = 0 \)
For the second case, we can solve for \( s \):
\[
s + 5 = 0 \implies s = -5
\]
Thus, the solutions to the equation \( s(s + 5) = 0 \) are:
\[
s = 0 \quad \text{or} \quad s = -5
\]
In conclusion, the answers are:
\[
s = 0 \quad \text{or} \quad s = -5
\]