$$3x^{2}-5x+2k=c$$
$k=\frac{c+5x-3x^{2}}{2}$
$$-5x+2k=c-3x^{2}$$
$$2k=c-3x^{2}+5x$$
$$2k=c+5x-3x^{2}$$
$$\frac{2k}{2}=\frac{c+5x-3x^{2}}{2}$$
$$k=\frac{c+5x-3x^{2}}{2}$$
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$c=3x^{2}-5x+2k$
$$c=3x^{2}-5x+2k$$