Final answer:
To solve x²−8x=0, factor out an 'x' to get x(x−8)=0, which gives us the solutions x=0 and x=8.
Step-by-step explanation:
To solve the quadratic equation x²−8x=0, we can factor the equation by finding common terms. Factor out an 'x', giving us x(x−8)=0. This tells us that if either factor equals zero, the whole expression will equal zero. Therefore, we set each factor equal to zero and solve:
- x=0
- x−8=0 which simplifies to x=8
Thus, the solutions to the equation x²−8x=0 are x=0 and x=8.