Solve 2000*10^3*285-0.627*(1-0.5*0.6273)*14.3*500*465^2/360*(465-35)

$$\frac { 2000 \times 10 ^ { 3 } \times 285 - 0.627 \times ( 1 - 0.5 \times 0.6273 ) \times 14.3 \times 500 \times 465 ^ { 2 } } { 360 \times ( 465 - 35 ) }$$

Evaluate

$$-\frac{508328785001}{825600000}\approx -615.708315166$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{2000\times 1000\times 285-0.627\left(1-0.5\times 0.6273\right)\times 14.3\times 500\times 465^{2}}{360\left(465-35\right)}$$

Multiply 2000 and 1000 to get 2000000.

$$\frac{2000000\times 285-0.627\left(1-0.5\times 0.6273\right)\times 14.3\times 500\times 465^{2}}{360\left(465-35\right)}$$

Multiply 2000000 and 285 to get 570000000.

$$\frac{570000000-0.627\left(1-0.5\times 0.6273\right)\times 14.3\times 500\times 465^{2}}{360\left(465-35\right)}$$

Multiply 0.5 and 0.6273 to get 0.31365.

$$\frac{570000000-0.627\left(1-0.31365\right)\times 14.3\times 500\times 465^{2}}{360\left(465-35\right)}$$

Subtract 0.31365 from 1 to get 0.68635.

$$\frac{570000000-0.627\times 0.68635\times 14.3\times 500\times 465^{2}}{360\left(465-35\right)}$$

Multiply 0.627 and 0.68635 to get 0.43034145.

$$\frac{570000000-0.43034145\times 14.3\times 500\times 465^{2}}{360\left(465-35\right)}$$

Multiply 0.43034145 and 14.3 to get 6.153882735.

$$\frac{570000000-6.153882735\times 500\times 465^{2}}{360\left(465-35\right)}$$

Multiply 6.153882735 and 500 to get 3076.9413675.

$$\frac{570000000-3076.9413675\times 465^{2}}{360\left(465-35\right)}$$

Calculate 465 to the power of 2 and get 216225.

$$\frac{570000000-3076.9413675\times 216225}{360\left(465-35\right)}$$

Multiply 3076.9413675 and 216225 to get 665311647.1876875.

$$\frac{570000000-665311647.1876875}{360\left(465-35\right)}$$

Subtract 665311647.1876875 from 570000000 to get -95311647.1876875.

$$\frac{-95311647.1876875}{360\left(465-35\right)}$$

Subtract 35 from 465 to get 430.

$$\frac{-95311647.1876875}{360\times 430}$$

Multiply 360 and 430 to get 154800.

$$\frac{-95311647.1876875}{154800}$$

Expand \frac{-95311647.1876875}{154800} by multiplying both numerator and the denominator by 10000000.

$$\frac{-953116471876875}{1548000000000}$$

Reduce the fraction \frac{-953116471876875}{1548000000000} to lowest terms by extracting and canceling out 1875.

$$-\frac{508328785001}{825600000}$$

Factor

$$-\frac{508328785001}{825600000} = -615\frac{584785001}{825600000} = -615.7083151659399$$