Solve the following equations:

_{Expanding with R1}

_{0= x(-3x}²-6x-2x²+6x)+6(2x+4+3x-9)-1(4x-9x)

_0=x(-5x²)+6(5x-5)-1(-5x)

_{0= -5x}³+30x-30+5x

_0=-5x³+35x-30

_x³-7x+6=0

_x³-x-6x+6=0

_x(x²-1)-6(x-1)=0

_{x(x-1)(x+1)-6(x-1)=0}

_(x-1)(x²+x-6)=0

_(x-1)(x²+3x-2x-6)=0

_{(x-1)(x(x+3)-2(x+3)(=0}

_{(x-1)(x+3)(x-2)=0}

_{Either x-1=0 or x+3=0 or x-2=0}

_{∴ x=1 or x=-3 or x=2}