\(5x\left(x-3\right)\left(x+3\right)-\left(2x-3\right)^2-5\left(x+2\right)^2\)
\(+34x\left(x+2\right)=1\)
\(\Leftrightarrow5x\left(x^2-9\right)-\left(4x^2-12x+9\right)-5\left(x^2+4x+4\right)\)
\(+34x^2+68x=0\)
\(\Leftrightarrow5x^3-45x-4x^2+12x-9-5x^2-20x-20\)
\(+34x^2+68x=0\)
\(\Leftrightarrow5x^3+25x^2+15x-29=0\)
Giải nghiệm ta được ba nghiệm sau:
\(x_1\approx0,776\)
\(x_2\approx-1,96\)
\(x_3\approx-3,82\)