The sentence can be completed as follows:
"This equation will have one solution when h equals 0 because you get one of the solutions when you have the same number of x's on either side of the equation and the constant terms are different."
However, based on the equation given (2x + 4 = 4x + 4), we can also simplify it to see that:
-
Subtract 2x from both sides:
\( 4 = 2x + 4 \) -
Subtract 4 from both sides:
\( 0 = 2x \) -
Solve for x:
\( x = 0 \)
This shows that the equation actually has one solution (x = 0) when the number of x's on both sides is equal (when simplified with some constants being the same).
If we were to have different conditions (like differing constants), we would be looking for different possible outcomes depending on the manipulation of h in a general form of an equation, which was not specified.