-10(x-10) = h(-2x-8)

this equation will have zero solutions when h = (blank) because you get zero solutions when you have (blank) number of x’s on either side and (blank) constants

This equation will have zero solutions when h is equal to any value except for zero, because when h is zero, both sides of the equation will be equal to zero and there will be an infinite number of solutions.

You get zero solutions when you have an equal number of x's on either side, as in this case, there is one x on the left side (-10(x-10)) and there are still two x's on the right side (h(-2x-8)).

You get zero solutions when you have an equal number of constants on either side, as in this case, there are no constant terms on the left side (-10(x-10)) and there is one constant term on the right side (h(-2x-8)).