Solve for B (complex solution)
\left\{\begin{matrix}B=\frac{A}{r+1}\text{, }&r\neq -1\\B\in \mathrm{C}\text{, }&A=0\text{ and }r=-1\end{matrix}\right.
Solve for B
\left\{\begin{matrix}B=\frac{A}{r+1}\text{, }&r\neq -1\\B\in \mathrm{R}\text{, }&A=0\text{ and }r=-1\end{matrix}\right.
Solve for A
A=B\left(r+1\right)
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A=B+Br
Use the distributive property to multiply B by 1+r.
B+Br=A
Swap sides so that all variable terms are on the left hand side.
\left(1+r\right)B=A
Combine all terms containing B.
\left(r+1\right)B=A
The equation is in standard form.
\frac{\left(r+1\right)B}{r+1}=\frac{A}{r+1}
Divide both sides by 1+r.
B=\frac{A}{r+1}
Dividing by 1+r undoes the multiplication by 1+r.
A=B+Br
Use the distributive property to multiply B by 1+r.
B+Br=A
Swap sides so that all variable terms are on the left hand side.
\left(1+r\right)B=A
Combine all terms containing B.
\left(r+1\right)B=A
The equation is in standard form.
\frac{\left(r+1\right)B}{r+1}=\frac{A}{r+1}
Divide both sides by 1+r.
B=\frac{A}{r+1}
Dividing by 1+r undoes the multiplication by 1+r.
A=B+Br
Use the distributive property to multiply B by 1+r.
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