Free algebra! part 2

Algebra Level 2

\[\frac { 7+4\omega }{ 7{ \omega }^{ 2 }+4 } +\frac { 5-3{ \omega }^{ 2 } }{ 5\omega -3 } = \ ?\]

Note: 1, \(\omega\) and \(\omega ^{ 2 }\) are the cubic roots of the unity.

Note: if it gives you more than one answer, add them together.

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