\[384400000=\frac{40{t}^{2}}{2}\]
1
Simplify  40t22\frac{40{t}^{2}}{2}  to  20t220{t}^{2}.
384400000=20t2384400000=20{t}^{2}

2
Divide both sides by 2020.
38440000020=t2\frac{384400000}{20}={t}^{2}

3
Simplify  38440000020\frac{384400000}{20}  to  1922000019220000.
19220000=t219220000={t}^{2}

4
Take the square root of both sides.
±19220000=t\pm \sqrt{19220000}=t

5
Simplify  19220000\sqrt{19220000}  to  310023100\sqrt{2}.
±31002=t\pm 3100\sqrt{2}=t

6
Switch sides.
t=±31002t=\pm 3100\sqrt{2}

Done

Decimal Form: ±4384.062043
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