Question

solve for m:
-8m(m - 6) = 0
write all solutions on the same line, separated by commas.
enter your next step here

Explanation:

Step1: Apply zero - product property

The zero - product property states that if \(ab = 0\), then either \(a = 0\) or \(b = 0\) (or both). For the equation \(-8m(m - 6)=0\), we can set each factor equal to zero.
We have two factors: \(-8m\) and \((m - 6)\).
So we get two equations: \(-8m=0\) and \(m - 6 = 0\).

Step2: Solve \(-8m = 0\)

To solve \(-8m=0\), we divide both sides of the equation by \(-8\).
\(m=\frac{0}{-8}=0\).

Step3: Solve \(m - 6=0\)

To solve \(m - 6 = 0\), we add \(6\) to both sides of the equation.
\(m=6\).

Answer:

0, 6