Question 388889
using your LCD ___ 2(x^2 + 3x + 2) + [(x^2 + 3x)(x^2 + 3x + 2)] = 8x(x + 3)


2(x^2 + 3x) + 4 + (x^2 + 3x)^2 + 2(x^2 + 3x) - 8(x^2 + 3x) = 0


collecting and rearranging terms ___ (x^2 + 3x)^2 - 4(x^2 + 3x) + 4 = 0


factoring ___ [(x^2 + 3x) - 2][(x^2 + 3x) - 2] = 0


(x^2 + 3x - 2)^2 = 0


x^2 + 3x - 2 = 0


use quadratic formula to find solutions