multiply both sides by (x-2)(x+1) to clea fractions x(x+1)+(x-1)(x-2)=(-1)(x-2)(x+1) distribute x^2+x+x^2-3x+2=-x^2+x-2 add like terms 2x^2-2x+2=-x^2+x+2 add x^2 to both sdes 3x^2-2x+2=x+2 minus x from both sides 3x^2-3x+2=2 minus 2 both sides 3x^2-3x=0 factor (3x)(x-1)=0 set to zero