- 5 + 3(b + 9b - 5) + 9b ^2

This looks like a quadratic root problem on first glance, lets simplify it.

Distribute the 3.

-5 + 3b + 27b - 15 + 9b^2

Simplify like terms of b.

-5 + 30b - 15 + 9b^2

Simplify constants

30b - 20 + 9b^2

Rearrange it so its easier to tell

9b^2 + 30b - 20

Now solve for the roots,

which gets you x = .5694 & x= -3.902

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.