What is 8400((t^2)/2+c) ?

The solution to 8400((t^2)/2+c) is 8400c+4200t^2

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simplify 8400((t^2)/2+c)

simplify

8400 (\frac{t ^{2}}{2} + c)

8400 c + 4200 t^{2}

Solution steps

8400 (\frac{t ^{2}}{2} + c)

Join

\frac{t ^{2}}{2} + c : \frac{c \cdot 2 + t ^{2}}{2}

= 8400 \cdot \frac{c \cdot 2 + t ^{2}}{2}

= 8400 \cdot \frac{2 c + t ^{2}}{2}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{8400 ( 2 c + t ^{2} )}{2}

Divide the numbers:

\frac{8400}{2} = 4200

= 4200 (2 c + t^{2})

Expand

4200 (2 c + t^{2}) : 8400 c + 4200 t^{2}

= 8400 c + 4200 t^{2}

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