To solve the equation \( c^2 - 4c = 0 \) by factoring, follow these steps:
1. **Factor the equation:** The given equation is \( c^2 - 4c = 0 \). First, factor out the common factor \( c \):
\[
c(c - 4) = 0
\]
2. **Set each factor equal to zero:** For the product to be zero, at least one of the factors must be zero. So set each factor equal to zero and solve for \( c \):
\[
c = 0
\]
and
\[
c - 4 = 0 \implies c = 4
\]
So, the solutions to the equation \( c^2 - 4c = 0 \) are \( c = 0 \) and \( c = 4 \).
Thus, the correct answer is:
\[ c = 0 \text{ or } c = 4 \]
9.
Solve the equation by factoring.
c2 − 4c = 0
c = 0 or c = 4
c = 1 or c = –
c = 0 or c = –4
c = 0 or c =
1 answer