Solve {l}{-5.34(6)^3+52.3(6)^2+27.8(6)+4120}{-5.34(7)^3+52.3(7)^2+27.8(7)+4120}

$$\left. \begin{array} { l } { - 5.34 ( 6 ) ^ { 3 } + 52.3 ( 6 ) ^ { 2 } + 27.8 ( 6 ) + 4120 } \\ { - 5.34 ( 7 ) ^ { 3 } + 52.3 ( 7 ) ^ { 2 } + 27.8 ( 7 ) + 4120 } \end{array} \right.$$

Evaluate

$$10061.84$$

Solution Steps

Calculate 6 to the power of 3 and get 216.

$$-5.34\times 216+52.3\times 6^{2}+27.8\times 6+4120-5.34\times 7^{3}+52.3\times 7^{2}+27.8\times 7+4120$$

Multiply -5.34 and 216 to get -1153.44.

$$-1153.44+52.3\times 6^{2}+27.8\times 6+4120-5.34\times 7^{3}+52.3\times 7^{2}+27.8\times 7+4120$$

Calculate 6 to the power of 2 and get 36.

$$-1153.44+52.3\times 36+27.8\times 6+4120-5.34\times 7^{3}+52.3\times 7^{2}+27.8\times 7+4120$$

Multiply 52.3 and 36 to get 1882.8.

$$-1153.44+1882.8+27.8\times 6+4120-5.34\times 7^{3}+52.3\times 7^{2}+27.8\times 7+4120$$

Add -1153.44 and 1882.8 to get 729.36.

$$729.36+27.8\times 6+4120-5.34\times 7^{3}+52.3\times 7^{2}+27.8\times 7+4120$$

Multiply 27.8 and 6 to get 166.8.

$$729.36+166.8+4120-5.34\times 7^{3}+52.3\times 7^{2}+27.8\times 7+4120$$

Add 729.36 and 166.8 to get 896.16.

$$896.16+4120-5.34\times 7^{3}+52.3\times 7^{2}+27.8\times 7+4120$$

Add 896.16 and 4120 to get 5016.16.

$$5016.16-5.34\times 7^{3}+52.3\times 7^{2}+27.8\times 7+4120$$

Calculate 7 to the power of 3 and get 343.

$$5016.16-5.34\times 343+52.3\times 7^{2}+27.8\times 7+4120$$

Multiply 5.34 and 343 to get 1831.62.

$$5016.16-1831.62+52.3\times 7^{2}+27.8\times 7+4120$$

Subtract 1831.62 from 5016.16 to get 3184.54.

$$3184.54+52.3\times 7^{2}+27.8\times 7+4120$$

Calculate 7 to the power of 2 and get 49.

$$3184.54+52.3\times 49+27.8\times 7+4120$$

Multiply 52.3 and 49 to get 2562.7.

$$3184.54+2562.7+27.8\times 7+4120$$

Add 3184.54 and 2562.7 to get 5747.24.

$$5747.24+27.8\times 7+4120$$

Multiply 27.8 and 7 to get 194.6.

$$5747.24+194.6+4120$$

Add 5747.24 and 194.6 to get 5941.84.

$$5941.84+4120$$

Add 5941.84 and 4120 to get 10061.84.

$$10061.84$$

Factor

$$\frac{2 \cdot 29 \cdot 4337}{5 ^ {2}} = 10061\frac{21}{25} = 10061.84$$