Solve for k
k=x^{3}+y^{3}+343
Solve for x (complex solution)
x=e^{\frac{2\pi i}{3}}\sqrt[3]{-y^{3}+k-343}
x=\sqrt[3]{-y^{3}+k-343}
x=e^{\frac{4\pi i}{3}}\sqrt[3]{-y^{3}+k-343}
Solve for x
x=\sqrt[3]{-y^{3}+k-343}
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x^{3}+y^{3}+343=k
Calculate 7 to the power of 3 and get 343.
k=x^{3}+y^{3}+343
Swap sides so that all variable terms are on the left hand side.
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