Given expression: [tex]d=\frac{1}{2} at^2[/tex].
We need to solve it for a.
First we need to get rid 2 from denominator.
In order to get rid 2 from denominator, we need to multiply both sides by 2.
Multiplying both sides by 2, we get
[tex]2\times d=2\times \frac{1}{2} at^2[/tex]
[tex]2d = at^2[/tex]
Now, dividing both sides by t^2, we get
[tex]\frac{2d}{a^2} = \frac{at^2}{a^2}[/tex]
[tex]a=\frac{2d}{a^2}[/tex].
[tex]a=\frac{2d}{a^2}[/tex]