I get:

2x*√(1-x^2) - x/(√1-4x^2) = 1/2

I tried simplifying further by multiplying by 2 and by (√1-4x^2) but, I can't see a solution for x.

I used a graphics calculator to draw a graph of y = 2x*√(1-x^2) - x/(√1-4x^2) and then used the trace function to trace the graph to y=0.5 to find x. I got x = -0.47

How can I solve for x using just pen & paper?

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