a: \(\Leftrightarrow2x\left(x^2-6x+5\right)+7x\left(x^2-3x+5\right)=2\left(x^2-3x+5\right)\left(x^2-6x+5\right)\)
=>\(2x^3-12x^2+10x+7x^3-21x^2+35x=2\left[\left(x^2+5\right)^2-9x\left(x^2+5\right)+18x^2\right]\)
\(\Leftrightarrow9x^3-33x^2+45x=2\left[x^4+10x^2+25-9x^3-45x+18x^2\right]\)
=>9x^3-33x^2+45x=2x^4-18x^3+56x^2-90x+50
=>2x^4-27x^3+89x^2-135x+50=0
=>\(x\in\left\{0.52;9.55\right\}\)
b: \(\dfrac{x^2+4}{x^2}+\dfrac{3x-6}{x-2}=0\)
=>1+4/x^2+3=0
=>4/x^2+4=0
=>4/x^2=-4
=>x^2=-1(loại)