Symmetric reasoning

Can you sum up the solutions to this equation?
Age
14 to 16
Challenge level
filled star empty star empty star
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



Find the sum of all the solutions of the equation $6x = \frac{150}{x}$

This problem is taken from the UKMT Mathematical Challenges.