Решите уравнение x(x^2 + 2x + 1) = 6(x+1)

Question

Решите уравнение x(x^2 + 2x + 1) = 6(x+1)

Answer 1

X (x^2 + 2x + 1) - 6(x + 1) = 0 
x (x + 1)^2 - 6(x + 1) = 0 
(x + 1) (x (x + 1) - 6) = 0 
(x + 1) (x^2 + x - 6) = 0 

1) x + 1 = 0 
x = - 1;

2) x^2 + x - 6 = 0 
D = 1 + 4*6 = 25 
x1 = ( - 1 +5)/2 = 2;
x2 = ( - 1 - 5)/2 = - 3;

Ответ
- 3; - 1; 2