a. \(\frac{1}{2}x\left(x^2-4\right)=0\)
\(\frac{1}{2}x\left(x-2\right)\left(x+2\right)=0\)
* \(\frac{1}{2}x=0\)
\(x=0\)
* \(x-2=0\)
\(x=2\)
* \(x+2=0\)
\(x=-2\)
b. \(\left(x+2\right)^2-\left(x-2\right)\left(x+2\right)=0\)
\(\left(x+2\right)\left(x+2\right)-\left(x-2\right)\left(x+2\right)=0\)
\(\left(x+2\right)\left(x+2-x+2\right)=0\)
\(\left(x+2\right).4=0\)
\(x+2=0\)
\(x=-2\)
(=) (x+2)[(x+2) - (x-2)] = 0
(=) (x+2)(x+2-x+2) = 0
(=) 4(x+2) = 0
=> x+2 = 0
=> x = -2