Solve for g (complex solution)
\left\{\begin{matrix}\\g=0\text{, }&\text{unconditionally}\\g\in \mathrm{C}\text{, }&k=-\frac{1}{4}\end{matrix}\right.
Solve for k (complex solution)
\left\{\begin{matrix}\\k=-\frac{1}{4}\text{, }&\text{unconditionally}\\k\in \mathrm{C}\text{, }&g=0\end{matrix}\right.
Solve for g
\left\{\begin{matrix}\\g=0\text{, }&\text{unconditionally}\\g\in \mathrm{R}\text{, }&k=-\frac{1}{4}\end{matrix}\right.
Solve for k
\left\{\begin{matrix}\\k=-\frac{1}{4}\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&g=0\end{matrix}\right.
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4kg+g=0
Add g to both sides.
\left(4k+1\right)g=0
Combine all terms containing g.
g=0
Divide 0 by 4k+1.
4gk=-g
The equation is in standard form.
\frac{4gk}{4g}=-\frac{g}{4g}
Divide both sides by 4g.
k=-\frac{g}{4g}
Dividing by 4g undoes the multiplication by 4g.
k=-\frac{1}{4}
Divide -g by 4g.
4kg+g=0
Add g to both sides.
\left(4k+1\right)g=0
Combine all terms containing g.
g=0
Divide 0 by 4k+1.
4gk=-g
The equation is in standard form.
\frac{4gk}{4g}=-\frac{g}{4g}
Divide both sides by 4g.
k=-\frac{g}{4g}
Dividing by 4g undoes the multiplication by 4g.
k=-\frac{1}{4}
Divide -g by 4g.
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