Solve for y
y=\left(7x-8\right)^{3}
Solve for x (complex solution)
x=\frac{\sqrt[3]{y}+8}{7}
x=\frac{e^{\frac{4\pi i}{3}}\sqrt[3]{y}+8}{7}
x=\frac{e^{\frac{2\pi i}{3}}\sqrt[3]{y}+8}{7}
Solve for x
x=\frac{\sqrt[3]{y}+8}{7}
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y=343x^{3}-1176x^{2}+1344x-512
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(7x-8\right)^{3}.
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