Evaluate
-\frac{2025x}{2}-1825
Factor
\frac{25\left(-81x-146\right)}{2}
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-2x\times \frac{2025}{4}+90\left(-\frac{45}{2}\right)+200
Calculate -\frac{45}{2} to the power of 2 and get \frac{2025}{4}.
\frac{-2\times 2025}{4}x+90\left(-\frac{45}{2}\right)+200
Express -2\times \frac{2025}{4} as a single fraction.
\frac{-4050}{4}x+90\left(-\frac{45}{2}\right)+200
Multiply -2 and 2025 to get -4050.
-\frac{2025}{2}x+90\left(-\frac{45}{2}\right)+200
Reduce the fraction \frac{-4050}{4} to lowest terms by extracting and canceling out 2.
-\frac{2025}{2}x+\frac{90\left(-45\right)}{2}+200
Express 90\left(-\frac{45}{2}\right) as a single fraction.
-\frac{2025}{2}x+\frac{-4050}{2}+200
Multiply 90 and -45 to get -4050.
-\frac{2025}{2}x-2025+200
Divide -4050 by 2 to get -2025.
-\frac{2025}{2}x-1825
Add -2025 and 200 to get -1825.
\frac{25\left(-81x-146\right)}{2}
Factor out \frac{25}{2}.
-81x-146
Consider -81x-162+16. Multiply and combine like terms.
\frac{25\left(-81x-146\right)}{2}
Rewrite the complete factored expression.
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