Solve this equation with steps? x^2 - 121 = 0

If a polynomial is in a form of a² - b², we call this a "special property".
You can only get this answer by multiplying (a - b)(a + b).

(a - b)(a + b)
a² + ab - ab - b²
a² - b²

Then let's find the square root of 121. = 11.
(x - 11)(x + 11)
x² + 11x - 11x - 121
x² - 121

To solve this equation, set (x - 11)(x + 11) equal to zero.

(x - 11) = 0         (x + 11) = 0
    +11    +11            -11     -11
     
       x = 11                  x = -11

Solutions are 11 and -11.
Hope this helped!