c: \(4x\left(x-1\right)-\left(1-x\right)^2=0\)
=>4x(x-1)-(x-1)2=0
=>(x-1)(4x-x+1)=0
=>(x-1)(3x+1)=0
=>\(\left[{}\begin{matrix}x-1=0\\3x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{1}{3}\end{matrix}\right.\)
d: \(2x^3+5x^2-12x=0\)
=>\(x\left(2x^2+5x-12\right)=0\)
=>\(x\left(2x^2+8x-3x-12\right)=0\)
=>x(x+4)(2x-3)=0
=>\(\left[{}\begin{matrix}x=0\\x+4=0\\2x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-4\\x=\dfrac{3}{2}\end{matrix}\right.\)
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