Solve for s
s=\frac{\left(w-2t\right)^{2}}{6}
Solve for t
t=\frac{w+\sqrt{6s}}{2}
t=\frac{w-\sqrt{6s}}{2}\text{, }s\geq 0
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6s=w^{2}-4wt+4t^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(w-2t\right)^{2}.
6s=4t^{2}-4tw+w^{2}
The equation is in standard form.
\frac{6s}{6}=\frac{\left(w-2t\right)^{2}}{6}
Divide both sides by 6.
s=\frac{\left(w-2t\right)^{2}}{6}
Dividing by 6 undoes the multiplication by 6.
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