`a,(2x-3)^6+2(2x-3)^2=0`
`<=>(2x-3)^2[(2x-3)^4+2]=0`
`=>(2x-3)^2=0([(2x-3)^4+2]>=2>0)`
`=>2x-3=0`
`=>x=3/2`
`b,8x^3-72x=0`
`<=> 8x(x^2-9)=0`
`<=> 8x(x-3)(x+3)=0`
`=>`\(\left[ \begin{array}{l}x=0\\x-3=0\\x+3=0\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=0\\x=3\\x=-3\end{array} \right.\)
`c,x^3-4x-14x(x-2)=0`
`<=> x(x^2-4)-14x(x-2)=0`
`<=> x(x-2)(x+2)-14x(x-2)=0`
`<=> (x-2)(x^2+2x-14x)=0`
`<=> (x-2)(x^2-12x)=0`
`<=> x(x-2)(x-12)=0`
`=>`\(\left[ \begin{array}{l}x=0\\x-2=0\\x-12=0\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=0\\x=2\\x=12\end{array} \right.\)
`d,(2x-5)^2-(5+2x)^2=0`
`<=> (2x-5)^2-(2x+5)^2=0`
`<=> (2x-5-2x-5)(2x-5+2x+5)=0`
`<=> -10.4x=0`
`<=> -40x=0`
`=>x=0`
