## Intermediate Algebra for College Students (7th Edition)

$x=-7,4$
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, $x=-7,4$