Solve for P (complex solution)
\left\{\begin{matrix}P=\frac{2cm\left(x+1\right)}{Q}\text{, }&Q\neq 0\\P\in \mathrm{C}\text{, }&\left(x=-1\text{ or }c=0\text{ or }m=0\right)\text{ and }Q=0\end{matrix}\right.
Solve for Q (complex solution)
\left\{\begin{matrix}Q=\frac{2cm\left(x+1\right)}{P}\text{, }&P\neq 0\\Q\in \mathrm{C}\text{, }&\left(x=-1\text{ or }c=0\text{ or }m=0\right)\text{ and }P=0\end{matrix}\right.
Solve for P
\left\{\begin{matrix}P=\frac{2cm\left(x+1\right)}{Q}\text{, }&Q\neq 0\\P\in \mathrm{R}\text{, }&\left(x=-1\text{ or }c=0\text{ or }m=0\right)\text{ and }Q=0\end{matrix}\right.
Solve for Q
\left\{\begin{matrix}Q=\frac{2cm\left(x+1\right)}{P}\text{, }&P\neq 0\\Q\in \mathrm{R}\text{, }&\left(x=-1\text{ or }c=0\text{ or }m=0\right)\text{ and }P=0\end{matrix}\right.
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PQ=\left(2xc+2c\right)m
Use the distributive property to multiply 2x+2 by c.
PQ=2xcm+2cm
Use the distributive property to multiply 2xc+2c by m.
QP=2cmx+2cm
The equation is in standard form.
\frac{QP}{Q}=\frac{2cm\left(x+1\right)}{Q}
Divide both sides by Q.
P=\frac{2cm\left(x+1\right)}{Q}
Dividing by Q undoes the multiplication by Q.
PQ=\left(2xc+2c\right)m
Use the distributive property to multiply 2x+2 by c.
PQ=2xcm+2cm
Use the distributive property to multiply 2xc+2c by m.
PQ=2cmx+2cm
The equation is in standard form.
\frac{PQ}{P}=\frac{2cm\left(x+1\right)}{P}
Divide both sides by P.
Q=\frac{2cm\left(x+1\right)}{P}
Dividing by P undoes the multiplication by P.
PQ=\left(2xc+2c\right)m
Use the distributive property to multiply 2x+2 by c.
PQ=2xcm+2cm
Use the distributive property to multiply 2xc+2c by m.
QP=2cmx+2cm
The equation is in standard form.
\frac{QP}{Q}=\frac{2cm\left(x+1\right)}{Q}
Divide both sides by Q.
P=\frac{2cm\left(x+1\right)}{Q}
Dividing by Q undoes the multiplication by Q.
PQ=\left(2xc+2c\right)m
Use the distributive property to multiply 2x+2 by c.
PQ=2xcm+2cm
Use the distributive property to multiply 2xc+2c by m.
PQ=2cmx+2cm
The equation is in standard form.
\frac{PQ}{P}=\frac{2cm\left(x+1\right)}{P}
Divide both sides by P.
Q=\frac{2cm\left(x+1\right)}{P}
Dividing by P undoes the multiplication by P.
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