(x^2+1)(x-2)=x^3-2x^2+x-2
solve for x

Step 1: Subtract x^3 from both sides.x^3−2x^2+x−2−x^3=x^3−2x^2+x−2−x^3−2x^2+x−2=−2x^2+x−2

Step 2: Add 2x^2 to both sides.−2x^2+x−2+2x^2=−2x^2+x−2+2x^2x−2=x−2

Step 3: Subtract x from both sides.x−2−x=x−2−x−2=−2

Step 4: Add 2 to both sides.−2+2=−2+20=0

All real numbers are solutions.