To solve this equation, we first need to expand the left side of the equation:

$x+2014$$x+2015$$x+2016$ = x^3 + 6035x^2 + 6072011x + 4076204

Now we set this expression equal to 24:

x^3 + 6035x^2 + 6072011x + 4076204 = 24

Next, we subtract 24 from both sides to set the equation to zero:

x^3 + 6035x^2 + 6072011x + 4076180 = 0

Now we can look for the roots of this equation. One possible root can be found by trial and error; plugging in small integers as potential solutions.

By trying x = -2, we find that it is a root of the equation. Therefore, we can factor out $x+2$ and perform polynomial division to find the other roots:

$x+2$$x^2+6033x+2038090$ = 0

Setting x^2 + 6033x + 2038090 = 0, we can use the quadratic formula:

x = $-6033\pm sqrt(6033^2-4<em>1</em>2038090)$ / 2

x = $-6033\pm sqrt(36472489-8152360)$ / 2

x = $-6033\pm sqrt(28320129)$ / 2

x = $-6033\pm 5320.40$ / 2

Therefore, the roots of the equation are -2, -3006.2, and -3026.8.