5.8 = (1/0.016)*(15$y+$$y^{2}$)* $\sqrt{\ 0.0031}$ * ((15$y+$$y^{2}$)/(15+2* $\sqrt{\ 2}$ $y$ ))^(2/3)
You asked:
Solve the equation \(5.8 = \frac{1}{0.016} \cdot \left(15 y + {y}^{2}\right) \cdot \sqrt{0.0031} \cdot {\left( \frac{15 y + {y}^{2}}{15 + 2 \cdot \sqrt{2} \cdot y} \right)}^{\frac{2}{3}}\) for the variable \(y\).
MathBot Answer:
The complex solutions are: \[\left\{y\; \middle|\; y \in \mathbb{R} \wedge 15015625 y^{10} + 1126171875 y^{9} + 33785156250 y^{8} + 506777343750 y^{7} + 3800830078125 y^{6} + 11402490234375 y^{5} - 99897344 \sqrt{31} y^{2} - 749230080 \sqrt{62} y - 2809612800 \sqrt{31} = 0 \right\} \setminus \left\{- \frac{15 \sqrt{2}}{4}\right\}\]