Solve 200010^3285-0.6273left(1-0.5*0.6273right)14.3*500465^2/360left(465-35right)

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

Evaluate

$$-\frac{5100265499699}{8256000000}\approx -617.764716533$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

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

Multiply 2000 and 1000 to get 2000000.

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

Multiply 2000000 and 285 to get 570000000.

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

Multiply 0.5 and 0.6273 to get 0.31365.

$$\frac{570000000-0.6273\left(1-0.31365\right)\times 14.3\times 500\times 465^{2}}{360\left(465-35\right)}$$

Subtract 0.31365 from 1 to get 0.68635.

$$\frac{570000000-0.6273\times 0.68635\times 14.3\times 500\times 465^{2}}{360\left(465-35\right)}$$

Multiply 0.6273 and 0.68635 to get 0.430547355.

$$\frac{570000000-0.430547355\times 14.3\times 500\times 465^{2}}{360\left(465-35\right)}$$

Multiply 0.430547355 and 14.3 to get 6.1568271765.

$$\frac{570000000-6.1568271765\times 500\times 465^{2}}{360\left(465-35\right)}$$

Multiply 6.1568271765 and 500 to get 3078.41358825.

$$\frac{570000000-3078.41358825\times 465^{2}}{360\left(465-35\right)}$$

Calculate 465 to the power of 2 and get 216225.

$$\frac{570000000-3078.41358825\times 216225}{360\left(465-35\right)}$$

Multiply 3078.41358825 and 216225 to get 665629978.11935625.

$$\frac{570000000-665629978.11935625}{360\left(465-35\right)}$$

Subtract 665629978.11935625 from 570000000 to get -95629978.11935625.

$$\frac{-95629978.11935625}{360\left(465-35\right)}$$

Subtract 35 from 465 to get 430.

$$\frac{-95629978.11935625}{360\times 430}$$

Multiply 360 and 430 to get 154800.

$$\frac{-95629978.11935625}{154800}$$

Expand \frac{-95629978.11935625}{154800} by multiplying both numerator and the denominator by 100000000.

$$\frac{-9562997811935625}{15480000000000}$$

Reduce the fraction \frac{-9562997811935625}{15480000000000} to lowest terms by extracting and canceling out 1875.

$$-\frac{5100265499699}{8256000000}$$

Factor

$$-\frac{5100265499699}{8256000000} = -617\frac{6313499699}{8256000000} = -617.7647165333091$$