Question 50101
For this question, we need to solve the equation for the value of m. To do this, we must get m alone. The parenthesis in the equation are irrelavent and confusing, so lets get rid of them. (3/2)m + 4 = 1/m + 2 - 2

The +2-2 cancels out, leaving us with (3/2)m + 4 = 1/m. Next we multiply the entire equation by m in order to get rid of the m in the denominator. 
m((3/2)m + 4) = m(1/m) -->(3/2)m^2 + 4m = 1 --> (3/2)m^2 + 4m - 1 = 0.
We can now use the quadratic equation to solve for m.

*[invoke quadratic "m", (3/2), 4, -1 ]