Solve for f (complex solution)
\left\{\begin{matrix}f=-\frac{a-5x}{x^{2}}\text{, }&x\neq 0\\f\in \mathrm{C}\text{, }&x=0\text{ and }a=0\end{matrix}\right.
Solve for f
\left\{\begin{matrix}f=-\frac{a-5x}{x^{2}}\text{, }&x\neq 0\\f\in \mathrm{R}\text{, }&x=0\text{ and }a=0\end{matrix}\right.
Solve for a
a=-x\left(fx-5\right)
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fx^{2}+a=5x
Add 5x to both sides. Anything plus zero gives itself.
fx^{2}=5x-a
Subtract a from both sides.
x^{2}f=5x-a
The equation is in standard form.
\frac{x^{2}f}{x^{2}}=\frac{5x-a}{x^{2}}
Divide both sides by x^{2}.
f=\frac{5x-a}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
fx^{2}+a=5x
Add 5x to both sides. Anything plus zero gives itself.
fx^{2}=5x-a
Subtract a from both sides.
x^{2}f=5x-a
The equation is in standard form.
\frac{x^{2}f}{x^{2}}=\frac{5x-a}{x^{2}}
Divide both sides by x^{2}.
f=\frac{5x-a}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
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