Let's solve your equation step-by-step.
2x3−5x2+3x+7=x−2
Step 1: Subtract x-2 from both sides.
2x3−5x2+3x+7−(x−2)=x−2−(x−2)
2x3−5x2+2x+9=0
Step 2: Factor left side of equation.
(x+1)(2x2−7x+9)=0
Step 3: Set factors equal to 0.
x+1=0 or 2x2−7x+9=0
x=−1
Answer:
x=−1
