Answer:
x=0 or x=1
Explanation:
(x−2)(−5x2+x)=x(−5x2)+x−2(−5x2)−2x
−5x3+11x2−2x=−5x3+10x2−x
Step 1: Add 5x^3 to both sides.
−5x3+11x2−2x+5x3=−5x3+10x2−x+5x3
11x2−2x=10x2−x
Step 2: Subtract 10x^2-x from both sides.
11x2−2x−(10x2−x)=10x2−x−(10x2−x)
x2−x=0
Step 3: Factor left side of equation.
x(x−1)=0
Step 4: Set factors equal to 0.
x=0 or x−1=0
x=0 or x=1