Here we are given with a equation:

And we have to solve it with appropriate steps.
So, let's start solving.
Add 2197 to both sides of the equation,


Now, using the identity:
- a³ + b³ = (a + b)(a² - ab + b²)
Let's proceed further.
x³ is the cube of x and 2197 is the cube of 13



Now,
- x + 13 = 0
- x² - 13x + 13 = 0
So, x = -13
And, for the second let's use the discriminate formula,
➝ D = b² - 4ac
➝ D = (-13)² - 4(1)(13)
➝ D = 169 - 52
➝ D = 117
Now, using the D. formula,



So the roots of the equation are:

And we are done !!
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