Complete the sentence based on the equation shown below.

[tex]\[ -3x - 30 = h(-x + 5) \][/tex]

This equation will have zero solutions when [tex]\( h = \square \)[/tex] because you get zero solutions when you have [tex]\(\square\)[/tex] number of [tex]\( x \)[/tex]'s on either side of the equation and [tex]\(\square\)[/tex].



Answer :

The given equation is:
[tex]\[ -3x - 30 = h(-x + 5) \][/tex]

This equation will have zero solutions when [tex]\( h = 3 \)[/tex] because you get zero solutions when you have the same number of [tex]\( x \)[/tex]'s on either side of the equation, and the constants do not balance. This implies that both sides of the equation are equivalent in terms of the coefficient of [tex]\( x \)[/tex], thus making the equation dependent and having no unique solution.