Solve for m
m=-\frac{x^{2}}{x+4}
x\neq -4
Solve for x (complex solution)
x=\frac{\sqrt{m\left(m-16\right)}-m}{2}
x=\frac{-\sqrt{m\left(m-16\right)}-m}{2}
Solve for x
x=\frac{\sqrt{m\left(m-16\right)}-m}{2}
x=\frac{-\sqrt{m\left(m-16\right)}-m}{2}\text{, }m\geq 16\text{ or }m\leq 0
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mx+4m=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
\left(x+4\right)m=-x^{2}
Combine all terms containing m.
\frac{\left(x+4\right)m}{x+4}=-\frac{x^{2}}{x+4}
Divide both sides by x+4.
m=-\frac{x^{2}}{x+4}
Dividing by x+4 undoes the multiplication by x+4.
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