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0.5at^{2}=d
Swap sides so that all variable terms are on the left hand side.
\frac{t^{2}}{2}a=d
The equation is in standard form.
\frac{2\times \frac{t^{2}}{2}a}{t^{2}}=\frac{2d}{t^{2}}
Divide both sides by 0.5t^{2}.
a=\frac{2d}{t^{2}}
Dividing by 0.5t^{2} undoes the multiplication by 0.5t^{2}.