Answer
$x=-7,4$
Work Step by Step
As per given question: $(x-1)(x+4)=24$
This can be written as: $x^2+4x-x-4-24=0$
or, $x^2+3x-28=0$
Need to use factorization to solve the quadratic equation .
$x^2+7x-4x-28=0$
or, $(x+7)(x-4)=0$
This implies $x+7=0$ and $x-4=0$
Hence, $x=-7,4$
