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44 votes
44 votes
Solve for x with zero product propertyX^2 + 4x -27 = 5

User Bacar
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1 Answer

5 votes
5 votes

Answer


\begin{gathered} Given\text{ }x^2+4x-27=5 \\ x^2+4x-27-5=5-5 \\ x^2+4x-32=0 \end{gathered}

Using factorization method


\begin{gathered} x^2+8x-4x-32=0 \\ x(x+8)-4(x+8)=0 \\ (x+8)(x-4)=0 \end{gathered}
\begin{gathered} x+8=0\text{ }or\text{ }x-4=0 \\ x=-8\text{ }or\text{ }x=4 \end{gathered}

Therefore, x = -8 or x = 4

User Matthew Souther
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