Решите уравнение (х-1)(х^2+6х+9)=5(х+3)

Question

Решите уравнение (х-1)(х^2+6х+9)=5(х+3)

Answer 1

(x - 1)(x² + 6x + 9) = 5(x + 3)
(x - 1)(x + 3)² -  5(x + 3) = 0
(x + 3)((x - 1)(x + 3) - 5) = 0
(x + 3)(x² + 2x - 8) = 0
x + 3 = 0
x₁ = - 3
 x² + 2x - 8 = 0
x₂ = - 4
x₃ = 2