Solve for F
F=iP\left(x+1\right)
Solve for P
\left\{\begin{matrix}P=-\frac{iF}{x+1}\text{, }&x\neq -1\\P\in \mathrm{C}\text{, }&F=0\text{ and }x=-1\end{matrix}\right.
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F=\left(P+Px\right)i
Use the distributive property to multiply P by 1+x.
F=iP+iPx
Use the distributive property to multiply P+Px by i.
F=\left(P+Px\right)i
Use the distributive property to multiply P by 1+x.
F=iP+iPx
Use the distributive property to multiply P+Px by i.
iP+iPx=F
Swap sides so that all variable terms are on the left hand side.
\left(i+ix\right)P=F
Combine all terms containing P.
\left(ix+i\right)P=F
The equation is in standard form.
\frac{\left(ix+i\right)P}{ix+i}=\frac{F}{ix+i}
Divide both sides by i+ix.
P=\frac{F}{ix+i}
Dividing by i+ix undoes the multiplication by i+ix.
P=-\frac{iF}{x+1}
Divide F by i+ix.
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