Solve for a (complex solution)
\left\{\begin{matrix}a=\frac{m}{x^{4}}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&m=0\text{ and }x=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=\frac{m}{x^{4}}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&m=0\text{ and }x=0\end{matrix}\right.
Solve for m
m=ax^{4}
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ax^{4}=m
Swap sides so that all variable terms are on the left hand side.
x^{4}a=m
The equation is in standard form.
\frac{x^{4}a}{x^{4}}=\frac{m}{x^{4}}
Divide both sides by x^{4}.
a=\frac{m}{x^{4}}
Dividing by x^{4} undoes the multiplication by x^{4}.
ax^{4}=m
Swap sides so that all variable terms are on the left hand side.
x^{4}a=m
The equation is in standard form.
\frac{x^{4}a}{x^{4}}=\frac{m}{x^{4}}
Divide both sides by x^{4}.
a=\frac{m}{x^{4}}
Dividing by x^{4} undoes the multiplication by x^{4}.
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