# How do you solve -x/2 +1/2x = -4/x?

Jun 5, 2015

There is no solution to this problem.

Problem: Solve $- \frac{x}{2} + \frac{1}{2} x = - \frac{4}{x}$

Rewrite the equation as:

$- \frac{x}{2} + \frac{x}{2} = - \frac{4}{x}$

Simplify $- \frac{x}{2} + \frac{x}{2}$ to $0$.

$0 = - \frac{4}{x}$

Multiply both sides by $x$.

$0 = - 4$

Since $0 = - 4$ is false; there is no solution.