Use factoring by grouping to solve the equation.
3x3 – x2 – 108x + 36 = 0
Solution:-
Notice that the expression on the left side of the equation can be grouped and factored.
Group the first two terms and the second two terms of 3x3 – x2 – 108x + 36. What is the missing expression?
3x3 – x2 – 108x + 36 = 0
(3x3 – x2) = (108x – 36) = 0
Factor out x2 form the first grouping and 35 from the second. What is the remaining factor?
x2 (3x – 1) – 36(x- 1) = 0
This reveals the common factor (3x – 1).
x2 (3x – 1) – 36(x- 1) = 0
(x2 -36)(3x-1) = 0
Factor complete the left side of the equation. What are the missing factors?
(x- 6) (x + 6) (3x – 1) = 0
Now , use the zero product property to solve the equation. What are the solutions?
x – 6 = 0 or x + 6 = 0 or 3x – 1 = 0
x = 6 , -6 , 
The solution are x = 6 , -6 ,