Solve for t
t=\frac{x^{3}+x-6}{2}
Solve for x
x=\sqrt[3]{\frac{\sqrt{81t^{2}+486t+732}}{9}+t+3}+\sqrt[3]{-\frac{\sqrt{81t^{2}+486t+732}}{9}+t+3}
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2t+6=x^{3}+x
Swap sides so that all variable terms are on the left hand side.
2t=x^{3}+x-6
Subtract 6 from both sides.
\frac{2t}{2}=\frac{x^{3}+x-6}{2}
Divide both sides by 2.
t=\frac{x^{3}+x-6}{2}
Dividing by 2 undoes the multiplication by 2.
t=\frac{x^{3}}{2}+\frac{x}{2}-3
Divide x^{3}+x-6 by 2.
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