This equation will have zero solutions when h equals -8 because you get zero solutions when you have the same number of x's on either side of the equation and different constants.
How to solve Algebraic Equations?
The algebraic equation is given as: h(-4x + 8) = -12x - 12
If h = 3, it means that both sides will have same coefficient of x as -12 which will make the equation to have zero solutions.
Thus, this equation will have zero solutions when h equals -3 because you get zero solutions when you have the same number of x's on either side of the equation and different constants.