Question

Solve by factoring: 7x^2 = 4x

Answer 1

x = 0 or x = 4/7

Explanation:

7x² = 4x

7x² - 4x = 0

x(7x - 4) = 0

thus,

x = 0 or x = 4/7

Answer 2

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.