Step 1: Multiply both sides by x.
−3x+2=x2−3x−2
Step 2: Multiply both sides by x.
−3x2+2x=x3−3x2−2x
−3x2+2x−(x3−3x2−2x)=x3−3x2−2x−(x3−3x2−2x)(Subtract x^3-3x^2-2x from both sides)
−x3+4x=0
x(−x+2)(x+2)=0(Factor left side of equation)
x=0 or −x+2=0 or x+2=0(Set factors equal to 0)
x=0 or x=2 or x=−2
Check answers. (Plug them in to make sure they work.)
x=2(Works in original equation)
x=−2(Works in original equation)