a: x(x-3)+x-3=0
=>(x-3)(x+1)=0
=>\(\left[\begin{array}{l}x-3=0\\ x+1=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=3\\ x=-1\end{array}\right.\)
b: \(\left(x-1\right)\left(x+2\right)-x\left(x-2\right)=-5\)
=>\(x^2+2x-x-2-x^2+2x=-5\)
=>3x-2=-5
=>3x=-3
=>x=-1
c: \(\left(5x-4\right)^2-16x^2=0\)
=>\(\left(5x-4\right)^2-\left(4x\right)^2=0\)
=>(5x-4-4x)(5x-4+4x)=0
=>(x-4)(9x-4)=0
=>\(\left[\begin{array}{l}x-4=0\\ 9x-4=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=4\\ x=\frac49\end{array}\right.\)
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