Solve for a (complex solution)
\left\{\begin{matrix}a=\frac{4}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=\frac{4}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\frac{4}{a}\text{, }&a\neq 0\end{matrix}\right.
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3ax^{2}=12x
Add 12x to both sides. Anything plus zero gives itself.
3x^{2}a=12x
The equation is in standard form.
\frac{3x^{2}a}{3x^{2}}=\frac{12x}{3x^{2}}
Divide both sides by 3x^{2}.
a=\frac{12x}{3x^{2}}
Dividing by 3x^{2} undoes the multiplication by 3x^{2}.
a=\frac{4}{x}
Divide 12x by 3x^{2}.
3ax^{2}=12x
Add 12x to both sides. Anything plus zero gives itself.
3x^{2}a=12x
The equation is in standard form.
\frac{3x^{2}a}{3x^{2}}=\frac{12x}{3x^{2}}
Divide both sides by 3x^{2}.
a=\frac{12x}{3x^{2}}
Dividing by 3x^{2} undoes the multiplication by 3x^{2}.
a=\frac{4}{x}
Divide 12x by 3x^{2}.
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Limits
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