Solve for P (complex solution)
\left\{\begin{matrix}P=\frac{x^{2}+x+4}{fx}\text{, }&x\neq 0\text{ and }f\neq 0\\P\in \mathrm{C}\text{, }&\left(x=\frac{-1+\sqrt{15}i}{2}\text{ or }x=\frac{-\sqrt{15}i-1}{2}\right)\text{ and }f=0\end{matrix}\right.
Solve for f (complex solution)
\left\{\begin{matrix}f=\frac{x^{2}+x+4}{Px}\text{, }&x\neq 0\text{ and }P\neq 0\\f\in \mathrm{C}\text{, }&\left(x=\frac{-1+\sqrt{15}i}{2}\text{ or }x=\frac{-\sqrt{15}i-1}{2}\right)\text{ and }P=0\end{matrix}\right.
Solve for P
P=\frac{x^{2}+x+4}{fx}
x\neq 0\text{ and }f\neq 0
Solve for f
f=\frac{x^{2}+x+4}{Px}
x\neq 0\text{ and }P\neq 0
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fxP=x^{2}+x+4
The equation is in standard form.
\frac{fxP}{fx}=\frac{x^{2}+x+4}{fx}
Divide both sides by fx.
P=\frac{x^{2}+x+4}{fx}
Dividing by fx undoes the multiplication by fx.
Pxf=x^{2}+x+4
The equation is in standard form.
\frac{Pxf}{Px}=\frac{x^{2}+x+4}{Px}
Divide both sides by Px.
f=\frac{x^{2}+x+4}{Px}
Dividing by Px undoes the multiplication by Px.
fxP=x^{2}+x+4
The equation is in standard form.
\frac{fxP}{fx}=\frac{x^{2}+x+4}{fx}
Divide both sides by fx.
P=\frac{x^{2}+x+4}{fx}
Dividing by fx undoes the multiplication by fx.
Pxf=x^{2}+x+4
The equation is in standard form.
\frac{Pxf}{Px}=\frac{x^{2}+x+4}{Px}
Divide both sides by Px.
f=\frac{x^{2}+x+4}{Px}
Dividing by Px undoes the multiplication by Px.
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