how to solve. step by step 7x^2-5x=0

7x^{2} - 5x = 0

First, look to see if there is a greatest common factor. In this case, the gcf is x and so we factor out an x from the left hand side of the equation:

x(7x - 5) = 0

By the zero product property, since the product of these two factors is 0, we can set each factor equal to 0:

x = 0

AND

7x - 5 = 0 solve for x adding 5 to both sides then dividing by 7

7x = 5

x = 5/7

Thus, there are two solutions for this equations. Those being, x = 0 and x = 5/7