What are the solutions of the quadratic equation 49x2 = 9?

49x^2 - 9 = 0

As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:

49 = 7^2

9 = 3^2

x^2 = (x) ^2

so ...

(7x - 3) (7x + 3) = 0

7x - 3 = 0 7x + 3 = 0

x = 3/7 x = - 3/7