Question

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

Answer 1

`\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