Answer
$3,-6$
Work Step by Step
Given: $(x-1)(x+4)=14$
or, $x^2+3x-18=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$x^2-3x+6x-18=0$
or, $(x-3)(x+6)=0$
Now, $x-3=0$ and $x+6=0$
This implies $x=3,-6$
