$$\\3(h^3+h^2)=108\\\\
h^3+h^2=36\\\\
\mbox{I don't know how to do this without 'guessing'.}\\
\mbox{So I am going to present if easier for guessing}\\\\
h^2(h+1)=36\\\\
That\; is\;\; 9*4=36\\\\
h=3 \\\\
\mbox{So that is one solution - it is a cubic so there are 2 more but they might be imaginary numbers}\\\\
\\$$
Here are the answers. There is only one real one.
http://www.wolframalpha.com/input/?i=solve+h%5E3%2Bh%5E2%3D36
$$\\3(h^3+h^2)=108\\\\
h^3+h^2=36\\\\
\mbox{I don't know how to do this without 'guessing'.}\\
\mbox{So I am going to present if easier for guessing}\\\\
h^2(h+1)=36\\\\
That\; is\;\; 9*4=36\\\\
h=3 \\\\
\mbox{So that is one solution - it is a cubic so there are 2 more but they might be imaginary numbers}\\\\
\\$$
Here are the answers. There is only one real one.
http://www.wolframalpha.com/input/?i=solve+h%5E3%2Bh%5E2%3D36