Solution x = -4, x = 12
Step by step:
x^2-8x=48
Add the same value to both sides.
x^2-8x+?=48+?
Add 16 to both sides.
x^2-8x+16=48+16
Use a^2-2ab+b^2=(a-b)^2 to factor the equation.
(x-4)^2=48+16
Add the numbers.
(x-4)^2=64
Solve the equation.
(x-4)^2=64
x=-4, 12