Answer
$4$
Work Step by Step
Given: $x(x+8)=16(x-1)$
or, $x^2-8x+16=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$x^2-4x-4x+16=0$
or, $(x-4)(x-4)=0 \implies (x-4)^2=0$
Now, $x-4-0$
This implies $x=4$
