Thực hiện phá ngoặc lần lượt và rút gọn VT = -73x + 36.

Giải phương trình -73x + 36 = 182 thu được x = -2.

5x(x - 3)(x + 3) - (2x - 3)² - 5(x + 2) + 34x(x + 2) = 1

\(\Leftrightarrow-\left(2x-3\right)^2+5x\left(x-3\right)\left(x+3\right)+34x\left(x+2\right)-5\left(x+2\right)-1=0\)

\(\Leftrightarrow\left[-\left(2x-3\right)^2+5x\left(x^2-9\right)-1\right]+\left(x+2\right)\left(34x-5\right)=0\)

\(\Leftrightarrow\left(-4x^2+12x-9+5x^3-45x-1\right)+\left(x+2\right)\left(34x-5\right)=0\)

\(\Leftrightarrow\left(5x^3-4x^2-33x-10\right)+\left(x+2\right)\left(34x-5\right)=0\)

\(\Leftrightarrow\left(x+2\right)\left(5x^2-14x-5\right)+\left(x+2\right)\left(34x-5\right)=0\)

\(\Leftrightarrow\left(x+2\right)\left(5x^2-14x-5+34x-5\right)=0\)

\(\Leftrightarrow\left(x+2\right)\left(5x^2+20x-10\right)=0\)

\(\Leftrightarrow\left(x+2\right)\left(x^2+4x-2\right)=0\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}x=-2\\x^2+4x-2=0\left(1\right)\end{array}\right.\)

\(\left(1\right)\Leftrightarrow x^2+4x+4-6=0\)

\(\Leftrightarrow\left(x+2\right)^2=6\)

\(\Leftrightarrow x=\pm\sqrt{6}-2\)

Vậy pt có nghiệm là \(\left[\begin{array}{nghiempt}x=-2\\x=\pm\sqrt{6}-2\end{array}\right.\)

Để đẩu nữa mk về giải cho 

\(5x\left(x-3\right)\left(x+3\right)-\left(2x-3\right)^2-5\left(x+2\right)^2\)

\(+34x\left(x+2\right)=1\)

\(\Leftrightarrow5x\left(x^2-9\right)-\left(4x^2-12x+9\right)-5\left(x^2+4x+4\right)\)

\(+34x^2+68x=0\)

\(\Leftrightarrow5x^3-45x-4x^2+12x-9-5x^2-20x-20\)

\(+34x^2+68x=0\)

\(\Leftrightarrow5x^3+25x^2+15x-29=0\)

Giải nghiệm ta được ba nghiệm sau: 

\(x_1\approx0,776\)

\(x_2\approx-1,96\)

\(x_3\approx-3,82\)

đề?