Solve for F (complex solution)
\left\{\begin{matrix}F=\frac{5x+3}{a+1}\text{, }&a\neq -1\\F\in \mathrm{C}\text{, }&x=-\frac{3}{5}\text{ and }a=-1\end{matrix}\right.
Solve for a (complex solution)
\left\{\begin{matrix}a=-\frac{-5x+F-3}{F}\text{, }&F\neq 0\\a\in \mathrm{C}\text{, }&F=0\text{ and }x=-\frac{3}{5}\end{matrix}\right.
Solve for F
\left\{\begin{matrix}F=\frac{5x+3}{a+1}\text{, }&a\neq -1\\F\in \mathrm{R}\text{, }&x=-\frac{3}{5}\text{ and }a=-1\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-\frac{-5x+F-3}{F}\text{, }&F\neq 0\\a\in \mathrm{R}\text{, }&F=0\text{ and }x=-\frac{3}{5}\end{matrix}\right.
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Fa+F=5x+3
Combine F\left(-1\right) and F\times 2 to get F.
\left(a+1\right)F=5x+3
Combine all terms containing F.
\frac{\left(a+1\right)F}{a+1}=\frac{5x+3}{a+1}
Divide both sides by a+1.
F=\frac{5x+3}{a+1}
Dividing by a+1 undoes the multiplication by a+1.
Fa+F=5x+3
Combine F\left(-1\right) and F\times 2 to get F.
Fa=5x+3-F
Subtract F from both sides.
Fa=5x-F+3
The equation is in standard form.
\frac{Fa}{F}=\frac{5x-F+3}{F}
Divide both sides by F.
a=\frac{5x-F+3}{F}
Dividing by F undoes the multiplication by F.
Fa+F=5x+3
Combine F\left(-1\right) and F\times 2 to get F.
\left(a+1\right)F=5x+3
Combine all terms containing F.
\frac{\left(a+1\right)F}{a+1}=\frac{5x+3}{a+1}
Divide both sides by a+1.
F=\frac{5x+3}{a+1}
Dividing by a+1 undoes the multiplication by a+1.
Fa+F=5x+3
Combine F\left(-1\right) and F\times 2 to get F.
Fa=5x+3-F
Subtract F from both sides.
Fa=5x-F+3
The equation is in standard form.
\frac{Fa}{F}=\frac{5x-F+3}{F}
Divide both sides by F.
a=\frac{5x-F+3}{F}
Dividing by F undoes the multiplication by F.
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