Solve for a (complex solution)
\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&b=\frac{1}{4}\end{matrix}\right.
Solve for b (complex solution)
\left\{\begin{matrix}\\b=\frac{1}{4}\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&a=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&b=\frac{1}{4}\end{matrix}\right.
Solve for b
\left\{\begin{matrix}\\b=\frac{1}{4}\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right.
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12ab-3a=0
Subtract 3a from both sides.
\left(12b-3\right)a=0
Combine all terms containing a.
a=0
Divide 0 by 12b-3.
12ab=3a
The equation is in standard form.
\frac{12ab}{12a}=\frac{3a}{12a}
Divide both sides by 12a.
b=\frac{3a}{12a}
Dividing by 12a undoes the multiplication by 12a.
b=\frac{1}{4}
Divide 3a by 12a.
12ab-3a=0
Subtract 3a from both sides.
\left(12b-3\right)a=0
Combine all terms containing a.
a=0
Divide 0 by 12b-3.
12ab=3a
The equation is in standard form.
\frac{12ab}{12a}=\frac{3a}{12a}
Divide both sides by 12a.
b=\frac{3a}{12a}
Dividing by 12a undoes the multiplication by 12a.
b=\frac{1}{4}
Divide 3a by 12a.
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