add 4x to both sides 0=-24x³+10x²+4x factor out the -2x from everybody 0=-2x(12x²-5x-2) factor use ac method 12 times -2=-24 what 2 numbers multiply to get -24 and add to get -5? -8 and 3 0=-2x(12x²+3x-8x-2) 0=-2x((12x²+3x)+(-8x-2)) 0=-2x(3x(4x+1)-2(4x+1)) 0=-2x(3x-2)(4x+1) set each to zero 0=-2x 0=x