Answer:
To solve the equation 7x^2 = 4x by factoring, we can start by rearranging the equation to have zero on one side:
7x^2 - 4x = 0
Now, let's factor out the common term, which is x:
x(7x - 4) = 0
To find the values of x, we set each factor equal to zero and solve for x:
x = 0 or 7x - 4 = 0
For the second equation, we solve for x:
7x - 4 = 0
7x = 4
x = 4/7
So, the solutions to the equation 7x^2 = 4x are x = 0 and x = 4/7.