The equation is
.
Graph the related function:
\Let
.
.
Graph the related function
.

\
Locate the x-intercepts of the graph. This graph has no x-intercepts.Therefore, this equation has no real number solutions. The solution set is
.
Check:
\Solve by factoring:
\There are no factors of 14 that have a sum of 7, so the expression is not factorable. Thus, the equation has no real number solutions.
This equation has no real number solutions. The solution set is
.