(x+1).(x+2).(x+5)-x^2.(x+8)= 27
\(\Leftrightarrow\left(x^2+2x+x+2\right)\left(x+5\right)-x^3-8x^2-27=0\)
\(\Leftrightarrow x^3+5x^2+2x^2+10x+x^2+5x+2x+10-x^3-8x^2-27=0\)
\(\Leftrightarrow17x-17=0\)
\(\Leftrightarrow x=1\)
(x + 1).(x + 2).(x + 5) - x2.(x + 8) = 27
<=> x3 + 8x2 + 17x + 10 - x2 - 8x2 = 27
<=> 17x + 10 = 27
<=> 17x = 27 - 10
<=> 17x = 17
<=> x = 1
=> x = 1