Solve for a
a=-x-\frac{4}{x}
x\neq 0
Solve for x (complex solution)
x=\frac{\sqrt{a^{2}-16}-a}{2}
x=\frac{-\sqrt{a^{2}-16}-a}{2}
Solve for x
x=\frac{\sqrt{a^{2}-16}-a}{2}
x=\frac{-\sqrt{a^{2}-16}-a}{2}\text{, }|a|\geq 4
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ax+4=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
ax=-x^{2}-4
Subtract 4 from both sides.
xa=-x^{2}-4
The equation is in standard form.
\frac{xa}{x}=\frac{-x^{2}-4}{x}
Divide both sides by x.
a=\frac{-x^{2}-4}{x}
Dividing by x undoes the multiplication by x.
a=-x-\frac{4}{x}
Divide -x^{2}-4 by x.
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