How many solutions does the equation have? 0=-7vert -5hvert

The given equation is $0=-7\vert -5h\vert $. The absolute value of a number is always non-negative. Therefore, the absolute value of $-5h$ is always non-negative. When we multiply a non-negative number by -7, the result is always non-positive. The only way for the equation $0=-7\vert -5h\vert $ to be true is if $\vert -5h\vert = 0$. This happens when $h = 0$. Therefore, the equation has one solution, which is $h = 0$.