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Keep in mind the square root of x squared equals the absolute value of x.
So, solving this equation for x involves the following:
sqrt(x2)+4=4x
|x|+4=4x
Solving for |x| yields:
|x|=4x-4
Using x=4x-4:
-3x=-4, x=4/3.
Using x=-(4x-4):
x+4x=4
x=4/5
Checking both with the original equation shows that |4/3|+4=16/3=4*4/3, so x=4/3.
However, |4/5|+4=24/5, which does not equal 4*4/5, so x does not equal 4/5.
This means there is only one solution, x=4/3.
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