If a tile pattern can be described by the equation $y=\left(x-1\right)\left(x+2\right)+x$, where $x$ represents the figure number and $y$ represents the number of tiles, find each of the following.  

1. The number of tiles in Figure 211.

   Hint (a):

   Substitute $211$ into the equation for $x$.

2. The number of the figure that contains $6558$ tiles.

   Hint (b):

   Substitute $6558$ into the equation for $y$.

   Step 1(b):

   $6558=\left(x-1\right)\left(x+2\right)+x$

   $6558=x^{^2}+x-2+x$

   $6558 = x^² + 2x + 2$

   Step 2(b):

   Set the equation equal to zero.

   $0=x^{^2}+2x-6556$

   Step 3(b):

   Factor the expression.

   $0=\left(x+82\right)\left(x-80\right)$

   $x=-82$ or $80$

   Step 4(b):

   The figure number cannot be negative.

   Answer (b):

   Figure $80$