$$2x2+3x-5=0$$
$x=\frac{5-2x_{2}}{3}$
$$3x-5=-2x_{2}$$
$$3x=-2x_{2}+5$$
$$3x=5-2x_{2}$$
$$\frac{3x}{3}=\frac{5-2x_{2}}{3}$$
$$x=\frac{5-2x_{2}}{3}$$
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$x_{2}=\frac{5-3x}{2}$
$$2x_{2}-5=-3x$$
$$2x_{2}=-3x+5$$
$$2x_{2}=5-3x$$
$$\frac{2x_{2}}{2}=\frac{5-3x}{2}$$
$$x_{2}=\frac{5-3x}{2}$$