Answer
$-3,6$
Work Step by Step
Given: $x(x-3)=18$
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 $x=-3,6$