[latex]mathrm{(3x-4)(5x-2)-15x^2=6x} \ mathrm{15x^2-6x-20x+8-15x^2=6x} \ mathrm{32x=-8} \ mathrm{x= -frac{1}{4} } \ \ \ mathrm{(8x-2)^2= 4x(16x-2)} \ mathrm{64x^2-32x+4=64x^2-8 x} \ mathrm{-24x= -4} \ mathrm{x= frac{1}{6} }[/latex] [latex]mathrm{(3x-4) cdot (-3)=7x-8} \ mathrm{-9x+12=7x-8} \ mathrm{-16x=-20} \ mathrm{x=- frac{5}{4} }[/latex] [latex]mathrm{4x-2 =3 cdot (-5x+8)} \ mathrm{4x-2=-15x+24} \ mathrm{19x=26} \ mathrm{x= frac{26}{19} }[/latex] [latex]mathrm{9x-2 =-(-x-3) +4^2} \ mathrm{9x-2=x+3+16} \ mathrm{8x=21} \ mathrm{x= frac{21}{8} }[/latex] [latex]mathrm{6 cdot(-5-3x) - (x^2 -8 )=0} \ mathrm{-30-18x-x^2+8=0} \ mathrm{-x^2-18x-22=0} \ mathrm{Delta=324-4 cdot (-1) cdot (-22)=324-88=236} \ mathrm{ sqrt{Delta}= sqrt{236}=2 sqrt{59} } \ mathrm{x_1= frac{18-2sqrt{59}}{-2}= sqrt{59} -9} \ mathrm{x_2=frac{18+2sqrt{59}}{-2} =-9- sqrt{59}} \ mathrm{x in { -9- sqrt{59}}, sqrt{59} -9 } }[/latex]
