how do you solve this can you do this with the steps do I an understand them,please.

Question

(square root start) 4x-8 (square root end)=-8

Answer 1

√(4x-8) = -8

I can immediately tell that this equation cannot have a real number solution because the definition of √ is to give the positive square root of a number

let's see what happens when we follow our regular routine ....

square both sides:

4x-8 - 64
4x = 72
x = 18

checking:
if x = 18
LS = √(72-8) = √64 = +8
RS = -8
LS ≠ RS

there is no solution, as stated at the start

This question points out why it is important to check all resulting answers after squaring both sides of an equation.