what is the solution of the equation 5/2x= -1/8?

Answer 1

To solve the equation: 5/2x = -1/8, we can begin by isolating the variable x on one side.

To do this, we divide both sides of the equation by 5/2:

(5/2x)/(5/2) = (-1/8)/(5/2)

This simplifies to:

x = (-1/8) * (2/5)

Now, let's multiply the numerators and denominators:

x = (-1 * 2) / (8 * 5)

This simplifies further to:

x = -2/40

We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

x = -1/20

Therefore, the solution to the equation 5/2x = -1/8 is x = -1/20.