How do I solve 1/9z = 0?

1 / ( 9z ) = 0

z-> infinity

In other words, there is no number so huge that when you divide 1 by z, you get a zero quotient.

On the other hand, if your posting had a typo, and you meant 1/9 z = 0, then naturally z=0. Dividing by 9 doesn't change that.

To solve the equation 1/9z = 0, we need to isolate the variable z.

First, we can start by multiplying both sides of the equation by 9z to eliminate the fraction:

(1/9z) * 9z = 0 * 9z

This simplifies to:

1 = 0

However, this equation is not true. In fact, there is no value of z that will make this equation valid. This means that the equation has no solution.

To understand why, let's examine the equation 1/9z = 0 in more detail.

In mathematics, division by zero is undefined because it violates the fundamental rules of arithmetic. Any denominator (the bottom part of a fraction) cannot be equal to zero.

In this case, if we suppose that 9z is equal to zero (denominator equals zero), then the left side of the equation 1/9z would be 1 divided by zero, which is undefined. Therefore, there is no value of z that makes the equation true.

Thus, the solution to the equation 1/9z = 0 is no solution (or sometimes denoted as "∅").