Two Three Two Three Two Three, And?

Algebra Level 4

\[{ 2x }^{ 2001 }+{ 3x }^{ 2000 }+{ 2x }^{ 1999 }+{ 3x }^{ 1998 }+\ldots +2x+3=0\]

Find the number of real root(s) of the equation above.

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