Solve y=8sqrt{x}+10x^frac{3{2}}-100

$$y = 8 \sqrt { x } + 10 x ^ { \frac { 3 } { 2 } } - 100$$

Solve for x

$$x=\frac{\sqrt[3]{900}\left(\sqrt[3]{\sqrt{15\left(135y^{2}+27000y+1351024\right)}+45y+4500}+\sqrt[3]{-\sqrt{15\left(135y^{2}+27000y+1351024\right)}+45y+4500}\right)^{2}}{900}$$

$$\frac{45^{\frac{2}{3}}\left(\sqrt[3]{\sqrt{2025y^{2}+405000y+20265360}+45y+4500}+\sqrt[3]{-\sqrt{2025y^{2}+405000y+20265360}+45y+4500}\right)}{45}\geq 0$$

Solve for y

$$y=10x^{\frac{3}{2}}+8\sqrt{x}-100$$

$$x\geq 0$$