Solve for m (complex solution)
\left\{\begin{matrix}m=\frac{4y+u^{2}+9}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&y=\frac{-u^{2}-9}{4}\text{ and }x=0\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m=\frac{4y+u^{2}+9}{x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&y=\frac{-u^{2}-9}{4}\text{ and }x=0\end{matrix}\right.
Solve for u (complex solution)
u=-\sqrt{mx-4y-9}
u=\sqrt{mx-4y-9}
Solve for u
u=\sqrt{mx-4y-9}
u=-\sqrt{mx-4y-9}\text{, }y\leq \frac{mx-9}{4}
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mx-4y-9=u^{2}
Add u^{2} to both sides. Anything plus zero gives itself.
mx-9=u^{2}+4y
Add 4y to both sides.
mx=u^{2}+4y+9
Add 9 to both sides.
xm=4y+u^{2}+9
The equation is in standard form.
\frac{xm}{x}=\frac{4y+u^{2}+9}{x}
Divide both sides by x.
m=\frac{4y+u^{2}+9}{x}
Dividing by x undoes the multiplication by x.
mx-4y-9=u^{2}
Add u^{2} to both sides. Anything plus zero gives itself.
mx-9=u^{2}+4y
Add 4y to both sides.
mx=u^{2}+4y+9
Add 9 to both sides.
xm=4y+u^{2}+9
The equation is in standard form.
\frac{xm}{x}=\frac{4y+u^{2}+9}{x}
Divide both sides by x.
m=\frac{4y+u^{2}+9}{x}
Dividing by x undoes the multiplication by x.
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