Solve 31.718-1.372*14.295+0.268*149.57+0.137*72.506+0.06514.295^2+0.388149.57^2-0.00572.506^2-0.027*14.295*149.57+0.049*14.295*72.506-0.101*149.57*72.506

$$31.718-1.372 \cdot 14.295+0.268 \cdot 149.57+0.137 \cdot 72.506+0.065 { 14.295 }^{ 2 } +0.388 { 149.57 }^{ 2 } -0.005 { 72.506 }^{ 2 } -0.027 \cdot 14.295 \cdot 149.57+0.049 \cdot 14.295 \cdot 72.506-0.101 \cdot 149.57 \cdot 72.506$$

Evaluate

$$7626.881480405$$

Solution Steps

Multiply 1.372 and 14.295 to get 19.61274.

$$31.718-19.61274+0.268\times 149.57+0.137\times 72.506+0.065\times 14.295^{2}+0.388\times 149.57^{2}-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Subtract 19.61274 from 31.718 to get 12.10526.

$$12.10526+0.268\times 149.57+0.137\times 72.506+0.065\times 14.295^{2}+0.388\times 149.57^{2}-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Multiply 0.268 and 149.57 to get 40.08476.

$$12.10526+40.08476+0.137\times 72.506+0.065\times 14.295^{2}+0.388\times 149.57^{2}-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Add 12.10526 and 40.08476 to get 52.19002.

$$52.19002+0.137\times 72.506+0.065\times 14.295^{2}+0.388\times 149.57^{2}-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Multiply 0.137 and 72.506 to get 9.933322.

$$52.19002+9.933322+0.065\times 14.295^{2}+0.388\times 149.57^{2}-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Add 52.19002 and 9.933322 to get 62.123342.

$$62.123342+0.065\times 14.295^{2}+0.388\times 149.57^{2}-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Calculate 14.295 to the power of 2 and get 204.347025.

$$62.123342+0.065\times 204.347025+0.388\times 149.57^{2}-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Multiply 0.065 and 204.347025 to get 13.282556625.

$$62.123342+13.282556625+0.388\times 149.57^{2}-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Add 62.123342 and 13.282556625 to get 75.405898625.

$$75.405898625+0.388\times 149.57^{2}-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Calculate 149.57 to the power of 2 and get 22371.1849.

$$75.405898625+0.388\times 22371.1849-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Multiply 0.388 and 22371.1849 to get 8680.0197412.

$$75.405898625+8680.0197412-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Add 75.405898625 and 8680.0197412 to get 8755.425639825.

$$8755.425639825-0.005\times 72.506^{2}-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Calculate 72.506 to the power of 2 and get 5257.120036.

$$8755.425639825-0.005\times 5257.120036-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Multiply 0.005 and 5257.120036 to get 26.28560018.

$$8755.425639825-26.28560018-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Subtract 26.28560018 from 8755.425639825 to get 8729.140039645.

$$8729.140039645-0.027\times 14.295\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Multiply 0.027 and 14.295 to get 0.385965.

$$8729.140039645-0.385965\times 149.57+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Multiply 0.385965 and 149.57 to get 57.72878505.

$$8729.140039645-57.72878505+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Subtract 57.72878505 from 8729.140039645 to get 8671.411254595.

$$8671.411254595+0.049\times 14.295\times 72.506-0.101\times 149.57\times 72.506$$

Multiply 0.049 and 14.295 to get 0.700455.

$$8671.411254595+0.700455\times 72.506-0.101\times 149.57\times 72.506$$

Multiply 0.700455 and 72.506 to get 50.78719023.

$$8671.411254595+50.78719023-0.101\times 149.57\times 72.506$$

Add 8671.411254595 and 50.78719023 to get 8722.198444825.

$$8722.198444825-0.101\times 149.57\times 72.506$$

Multiply 0.101 and 149.57 to get 15.10657.

$$8722.198444825-15.10657\times 72.506$$

Multiply 15.10657 and 72.506 to get 1095.31696442.

$$8722.198444825-1095.31696442$$

Subtract 1095.31696442 from 8722.198444825 to get 7626.881480405.

$$7626.881480405$$

Factor

$$\frac{11 \cdot 138670572371}{2 ^ {9} \cdot 5 ^ {8}} = 7626\frac{176296081}{200000000} = 7626.881480405$$