g: \(2\left(x+5\right)-x^2-5x=0\)
=>2(x+5)-x(x+5)=0
=>(x+5)(2-x)=0
=>\(\left[\begin{array}{l}x+5=0\\ 2-x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=-5\\ x=2\end{array}\right.\)
i: \(x^3-5x^2+8x-4=0\)
=>\(x^3-x^2-4x^2+4x+4x-4=0\)
=>\(x^2\left(x-1\right)-4x\left(x-1\right)+4\left(x-1\right)=0\)
=>\(\left(x-1\right)\left(x^2-4x+4\right)=0\)
=>\(\left(x-1\right)\left(x-2\right)^2=0\)
=>\(\left[\begin{array}{l}x-1=0\\ x-2=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=1\\ x=2\end{array}\right.\)
j: \(x^3+x^2+x+1=0\)
=>\(x^2\left(x+1\right)+\left(x+1\right)=0\)
=>\(\left(x+1\right)\left(x^2+1\right)=0\)
=>x+1=0
=>x=-1
