Solve for k
k=\frac{v^{2}}{24}
Solve for v
v=2\sqrt{6k}
v=-2\sqrt{6k}\text{, }k\geq 0
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24k=v^{2}
Swap sides so that all variable terms are on the left hand side.
\frac{24k}{24}=\frac{v^{2}}{24}
Divide both sides by 24.
k=\frac{v^{2}}{24}
Dividing by 24 undoes the multiplication by 24.
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