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

Answer 1

To find the solution of the equation 5/2x = -1/8, we need to isolate the variable x.

First, we can multiply both sides of the equation by 2 to eliminate the denominator on the left side:
2 * (5/2x) = 2 * (-1/8)
This simplifies to:
5x = -1/4

Next, we can multiply both sides of the equation by 4 to eliminate the fraction on the right side:
4 * (5x) = 4 * (-1/4)
This simplifies to:
20x = -1

Finally, we can divide both sides of the equation by 20 to solve for x:
20x/20 = -1/20
x = -1/20

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