a, 2x-6=5x-9
=>2x-5x=-9+6
=>-3x=-3
=>x=1
b, 4x2-6x=0
=> 2x(2x-3)=0
=>x=0 hoặc x=\(\frac{3}{2}\)
c,
\(\frac{4+3x}{3}=\frac{x^2+1}{x}\\ =>\frac{4x+3x^2-3x^2-3}{x}=0\\ =>\frac{4x-3}{x}=0\\ =>4x-3=0\\ =>x=\frac{3}{4}\)
d,
\(\frac{3x+2}{3x-2}-\frac{6}{2+3x}=\frac{9x}{9x^2-4}\\ =>\left(3x+2\right)^2-6\left(3x-2\right)=9x\\ =>9x^2+12x+4-18x-12-9x=0\\ =>9x^2-15x+16=0\\ =>x=..\)