\(a,2x^3\left(2x-3\right)-x^2\left(4x^2-6x+2\right)=0\)
\(\Rightarrow4x^4-6x^3-4x^4+6x^3-2x^2=0\)
\(\Rightarrow-2x^2=0\)
\(\Rightarrow x^2=0\)
\(\Rightarrow x=0\)
\(b,\left(x+3\right)^2+\left(x-2\right)\left(x+2\right)-2\left(x-1\right)^2=7\)
\(\Rightarrow x^2+6x+9+x^2-4-2x^2+4x-2=7\)
\(\Rightarrow10x+3=7\)
\(\Rightarrow10x=4\)
\(\Rightarrow x=\dfrac{2}{5}\)
\(c,\left(3x+2\right)\left(x-1\right)-3\left(x+1\right)\left(x-2\right)=4\)
\(\Rightarrow3x^2-x-2-3x^2+3x+6=4\)
\(\Rightarrow2x+4=4\)
\(\Rightarrow2x=0\)
\(\Rightarrow x=0\)
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