Solve for t
t=\frac{V^{2}-109200}{400}
V\geq 0
Solve for V
V=20\sqrt{t+273}
t\geq -273
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20\sqrt{273+t}=V
Swap sides so that all variable terms are on the left hand side.
\frac{20\sqrt{t+273}}{20}=\frac{V}{20}
Divide both sides by 20.
\sqrt{t+273}=\frac{V}{20}
Dividing by 20 undoes the multiplication by 20.
t+273=\frac{V^{2}}{400}
Square both sides of the equation.
t+273-273=\frac{V^{2}}{400}-273
Subtract 273 from both sides of the equation.
t=\frac{V^{2}}{400}-273
Subtracting 273 from itself leaves 0.
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