Hey, I don't understand this question I have honestly done this question about a good 3 times but never seemed to get the right answer. Please Help!!!

Solve each equation by factoring. Check your answers. 7x^2=21x

1 answer

7x^2 = 21x
7x^2-21x = 0
7x(x-3) = 0

This is why we always set stuff to zero. If the product of factors is zero, one of the factors must be zero. So, we have

7=0: never
x=0: x=0
x-3 = 0: x=3

Those are the solutions: x = 0 or 3