Question

solve for c.
-6c(c + 3) = 0
write your answers as integers or fractions.
c = or c =

Explanation:

Step1: Apply Zero Product Property

The equation is \(-6c(c + 3)=0\). By the Zero Product Property, if \(ab = 0\), then either \(a = 0\) or \(b = 0\). Here, \(a=-6c\) and \(b = c + 3\). So we set each factor equal to zero:
\(-6c=0\) or \(c + 3=0\)

Step2: Solve \(-6c = 0\)

Divide both sides of \(-6c=0\) by \(-6\):
\(c=\frac{0}{-6}=0\)

Step3: Solve \(c + 3=0\)

Subtract 3 from both sides of \(c + 3=0\):
\(c=-3\)

Answer:

\(c = 0\) or \(c=-3\)