Answer
The solutions are -4 and 8.
Work Step by Step
$x^{2}$-4x=32
$x^{2}$-4x-32=32-32
$x^{2}$-4x-32=0
$x^{2}$-8x+4x-32=0
x(x-8)+4(x-8)=0
(x+4)(x-8)=0
x+4=0 x-8=0
x+4-4=0-4 or x-8+8=0+8
x=-4 or x=8
The solutions are -4 and 8.
Check
Let x=-4
$x^{2}$-4x=32
$(-4)^{2}$ -4(-4)=32
16+16=32
32=32
Let x=8
$x^{2}$-4x=32
$8^{2}$-4*8 =32
64-32=32
32=32