e)
[tex](x-4)(x+6)=x(x-4)\\\\x^2+6x-4x-24=x^2-4x\\\\x^2+2x-24=x^2-4x\\\\x^2+2x-x^2+4x=24\\\\6x=24 \ \ /:6\\\\\huge\boxed{x=4}[/tex]
f)
[tex](2x-1)(3x-1)-(3x-2)(2x-3)=0\\\\6x^2-2x-3x+1-(6x^2-9x-4x+6)=0\\\\6x^2-5x+1-(6x^2-13x+6)=0\\\\6x^2-5x+1-6x^2+13x-6=0\\\\8x-5=0\\\\8x=5 \ \ /:8\\\\\huge\boxed{x=\frac{5}{8}}[/tex]
g)
[tex](4-x)(2x+3)+2x^2=6\\\\8x+12-2x^2-3x+2x^2=6\\\\5x+12=6\\\\5x=6-12\\\\5x=-6 \ \ /:5\\\\\huge\boxed{x=-1,2}[/tex]
h)
[tex](2x+3)(3x-1)+4=(6x-2)(x+1)\\\\6x^2-2x+9x-3+4=6x^2+6x-2x-2\\\\6x^2+7x+1=6x^2+4x-2\\\\6x^2+7x-6x^2-4x=-2-1\\\\3x=-3 \ \ /:3\\\\\huge\boxed{x=-1}[/tex]
