Solve for b
\left\{\begin{matrix}\\b=-a\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right.
Solve for a
a=-b
a=0
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ab=-a^{2}
Subtract a^{2} from both sides. Anything subtracted from zero gives its negation.
\frac{ab}{a}=-\frac{a^{2}}{a}
Divide both sides by a.
b=-\frac{a^{2}}{a}
Dividing by a undoes the multiplication by a.
b=-a
Divide -a^{2} by a.
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