Find the roots of the polynomial equation using the quadratic formula: $$ 2x^{2} + 3x - 2 = 0 $$

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Solve the equation $$ 2x^{2}+3x-2=0 $$.
Solve the quadratic equation by following steps:
- step0: Solve by factoring:
  $$2x^{2}+3x-2=0$$
- step1: Factor the expression:
  $$\left(x+2ight)\left(2x-1ight)=0$$
- step2: Separate into possible cases:
  $$\begin{align}&2x-1=0\&x+2=0\end{align}$$
- step3: Solve the equation:
  $$\begin{align}&x=\frac{1}{2}\&x=-2\end{align}$$
- step4: Rewrite:
  $$x_{1}=-2,x_{2}=\frac{1}{2}$$
The roots of the polynomial equation $$2x^{2} + 3x - 2 = 0$$ using the quadratic formula are $$x_{1} = -2$$ and $$x_{2} = 0.5$$.
The roots are $$x = -2$$ and $$x = 0.5$$.

Find the roots of the polynomial equation using the quadratic formula:

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