Solve 15x^2-4y*(-63/135)=sqrt[13]{5325000.00458}*x^2-4y^3

$$15 { x }^{ 2 } -4y \times (- \frac{ 63 }{ 135 } )= \sqrt[ 13 ]{ 5325000.00458 } \times { x }^{ 2 } -4 { y }^{ 3 }$$

Solve for x

$$x=\frac{200\sqrt{-\frac{3y\left(15y^{2}+7\right)}{-50000^{\frac{12}{13}}\sqrt[13]{266250000229}+750000}}}{3}$$

$$x=-\frac{200\sqrt{-\frac{3y\left(15y^{2}+7\right)}{-50000^{\frac{12}{13}}\sqrt[13]{266250000229}+750000}}}{3}\text{, }y\leq 0$$

Solve for y

$$y=\frac{50^{\frac{2}{3}}\left(\sqrt[3]{100\sqrt{5\left(729\times 50000^{\frac{11}{13}}\times 266250000229^{\frac{2}{13}}x^{4}-21870\times 50000^{\frac{12}{13}}\sqrt[13]{266250000229}x^{4}[phone]x^{4}+8780800\right)}+27\times 50000^{\frac{12}{13}}\sqrt[13]{266250000229}x^{2}-20250000x^{2}}+\sqrt[3]{-100\sqrt{5\left(729\times 50000^{\frac{11}{13}}\times 266250000229^{\frac{2}{13}}x^{4}-21870\times 50000^{\frac{12}{13}}\sqrt[13]{266250000229}x^{4}[phone]x^{4}+8780800\right)}+27\times 50000^{\frac{12}{13}}\sqrt[13]{266250000229}x^{2}-20250000x^{2}}\right)}{3000}$$