To solve the equation \( h^2 - 43h = 0 \), we can factor out \( h \):
\[ h(h - 43) = 0 \]
Setting each factor equal to zero gives us the possible solutions:
- \( h = 0 \)
- \( h - 43 = 0 \) which simplifies to \( h = 43 \)
Thus, the solutions are:
\[ h = 0, 43 \]
In simplest form, the solutions are:
\[ \boxed{0, 43} \]