Factoring / solve for x

5.50x = 0.02x^3 + 5x

.02x^3 - 5.5x + 5x = 0

.02x^3 - .5x = 0
x(.02x^2 - .5) = 0
x = 0 or x^2 = .5/.02

x^2 = 25
x = ± 5

so x = -5, 0, 5