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Solve for f : gf+3g=4f-6gf

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Answer to a math question Solve for f : gf+3g=4f-6gf

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$gf=4f-6gf-3g$

$gf-4f+6gf=-3g$

$\left( g-4+6g \right)f=-3g$

$\begin{array} { l }f=\frac{ -3g }{ g-4+6g },& g-4+6g≠0\end{array}$

$\begin{array} { l }f=\frac{ -3g }{ g-4+6g },& g≠\frac{ 4 }{ 7 }\end{array}$

$\begin{array} { l }f=\frac{ -3g }{ 7g-4 },& g≠\frac{ 4 }{ 7 }\end{array}$

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