To find the solution to the equation n^2 - 49 = 0, we can solve it using the method of factoring, which involves rewriting the equation as a product of two expressions equal to zero.
The equation n^2 - 49 = 0 can be rewritten as (n - 7)(n + 7) = 0.
Now, for the product of two expressions to equal zero, at least one of the expressions must be zero. Therefore, we set each expression equal to zero and solve for n:
n - 7 = 0 or n + 7 = 0
Solving the first equation, we add 7 to both sides:
n = 7
And solving the second equation, we subtract 7 from both sides:
n = -7
Hence, the solutions to the equation n^2 - 49 = 0 are n = 7 and n = -7.