Solve for $$ v $$ $$ v^{2}+2 v-3=0 $$

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Solve the equation $$ v^{2}+2v-3=0 $$.
Solve the quadratic equation by following steps:
- step0: Solve by factoring:
  $$v^{2}+2v-3=0$$
- step1: Factor the expression:
  $$\left(v-1ight)\left(v+3ight)=0$$
- step2: Separate into possible cases:
  $$\begin{align}&v-1=0\&v+3=0\end{align}$$
- step3: Solve the equation:
  $$\begin{align}&v=1\&v=-3\end{align}$$
- step4: Rewrite:
  $$v_{1}=-3,v_{2}=1$$
The solutions to the equation $$v^{2}+2v-3=0$$ are $$v=-3$$ and $$v=1$$.
$$ v=-3 $$ or $$ v=1 $$.

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