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29 votes
29 votes
Solve by applying the zero product property.m^2= 27-6m

User Ryan Shea
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1 Answer

22 votes
22 votes

To apply the zero product property we first need to write all the terms of the equation on side:


\begin{gathered} m^2=27-6m \\ m^2+6m-27=0 \end{gathered}

Now we need to factorise the expression on the right:


\begin{gathered} m^2+6m-27=0 \\ (m+9)(m-3)=0 \end{gathered}

The last line indicates that the product of two numbers is equal to zero this means that one of them has to be zero (this is the zero product property), then we have:


\begin{gathered} m+9=0 \\ m=-9 \\ or \\ m-3=0 \\ m=3 \end{gathered}

Therefore, the solutions of the equation are m=-9 and m=3

User Aqib Bangash
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