Solve the equation:
4
x
2
=
−
9
x
+
9
\displaystyle {4}{x}^{{2}}=-{9}{x}+{9}
4
x
2
=
−
9
x
+
9
. Fully simplify your answer, including any non-real solutions.
x
=
\displaystyle {x}=
x
=
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