Solve the equation by factoring.

Question

x^2-9x=0

Answer 1

To solve the equation x^2 - 9x = 0 by factoring, we can first factor out the x:

x(x - 9) = 0

Now, we have two factors, x and (x - 9), which multiply to give 0. Therefore, either x = 0 or (x - 9) = 0.

If x = 0, then the equation is satisfied.

If (x - 9) = 0, then adding 9 to both sides gives x = 9.

So, the solutions to the equation x^2 - 9x = 0 are x = 0 and x = 9.