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\left(-\frac{3}{2}\right)^{2}-4=X
Subtract \frac{5}{2} from 1 to get -\frac{3}{2}.
\frac{9}{4}-4=X
Calculate -\frac{3}{2} to the power of 2 and get \frac{9}{4}.
-\frac{7}{4}=X
Subtract 4 from \frac{9}{4} to get -\frac{7}{4}.
X=-\frac{7}{4}
Swap sides so that all variable terms are on the left hand side.