`a) (x+1)(x-1)-x(x-3)=0`
`<=> x^2-1-x^2+3x=0`
`<=> 3x-1=0`
`<=> x=1/3`
`b) (3x^2+15x):3x=6`
`<=> x+5=6`
`<=> x=1`
`c) 2/3(x^2-4)=0`
`<=> (x-2)(x+2)=0`
`<=>`\(\left[ \begin{array}{l}x-2=0\\x+2=0\end{array} \right.\)
`<=>`\(\left[ \begin{array}{l}x=2\\x=-2\end{array} \right.\)
`d) (x+2)^2-(x-2)(x+2)=0`
`<=> (x+2)(x+2-x+2)=0`
`<=> 4(x+2)=0`
`<=> x+2=0`
`<=> x=-2`
`e) x(x+5)-x^2+10=0`
`<=> x^2+5x-x^2+10=0`
`<=> 5x+10=0`
`<=> x+2=0`
`<=> x=-2`