Solve for a
\left\{\begin{matrix}a=-\frac{5\left(\sigma -8065\right)}{c}\text{, }&c\neq 0\\a\in \mathrm{R}\text{, }&\sigma =8065\text{ and }c=0\end{matrix}\right.
Solve for c
\left\{\begin{matrix}c=-\frac{5\left(\sigma -8065\right)}{a}\text{, }&a\neq 0\\c\in \mathrm{R}\text{, }&\sigma =8065\text{ and }a=0\end{matrix}\right.
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ac=5-5\sigma +40320
The factorial of 8 is 40320.
ac=40325-5\sigma
Add 5 and 40320 to get 40325.
ca=40325-5\sigma
The equation is in standard form.
\frac{ca}{c}=\frac{40325-5\sigma }{c}
Divide both sides by c.
a=\frac{40325-5\sigma }{c}
Dividing by c undoes the multiplication by c.
a=\frac{5\left(8065-\sigma \right)}{c}
Divide 40325-5\sigma by c.
ac=5-5\sigma +40320
The factorial of 8 is 40320.
ac=40325-5\sigma
Add 5 and 40320 to get 40325.
\frac{ac}{a}=\frac{40325-5\sigma }{a}
Divide both sides by a.
c=\frac{40325-5\sigma }{a}
Dividing by a undoes the multiplication by a.
c=\frac{5\left(8065-\sigma \right)}{a}
Divide 40325-5\sigma by a.
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