Решите уровнение. x(x^2+6x+9)=4(x+3)​

x(x^2+6x+9)=4(x+3);

x^3 + 6x^2 + 9x = 4x + 12;

x^3 + 6x^2 + 9x - 4x - 12 = 0;

x^3 - x^2 + 7x^2 - 7x + 12x - 12 = 0;

x^2*(x-1) + 7x*(x-1) + 12*(x-1) = 0;

(x-1)*(x^2 + 7x + 12) = 0;

(x-1)*(x^2 + 4x + 3x + 12) = 0;

(x-1)*(x*(x + 4) + 3*(x + 4)) = 0;

(x-1)*(x + 4)*(x + 3) = 0;

x - 1 = 0

x + 4 = 0

x + 3 = 0

ответ: X1 = -4; X2 = -3; X3 = 1.