Solve for r (complex solution)
\left\{\begin{matrix}\\r=15\text{, }&\text{unconditionally}\\r\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&r=15\end{matrix}\right.
Solve for r
\left\{\begin{matrix}\\r=15\text{, }&\text{unconditionally}\\r\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&r=15\end{matrix}\right.
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2xr=30x
Swap sides so that all variable terms are on the left hand side.
\frac{2xr}{2x}=\frac{30x}{2x}
Divide both sides by 2x.
r=\frac{30x}{2x}
Dividing by 2x undoes the multiplication by 2x.
r=15
Divide 30x by 2x.
30x-2xr=0
Subtract 2xr from both sides.
\left(30-2r\right)x=0
Combine all terms containing x.
x=0
Divide 0 by 30-2r.
2xr=30x
Swap sides so that all variable terms are on the left hand side.
\frac{2xr}{2x}=\frac{30x}{2x}
Divide both sides by 2x.
r=\frac{30x}{2x}
Dividing by 2x undoes the multiplication by 2x.
r=15
Divide 30x by 2x.
30x-2xr=0
Subtract 2xr from both sides.
\left(30-2r\right)x=0
Combine all terms containing x.
x=0
Divide 0 by 30-2r.
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