Solve x{10^{2}-5x^{2}-[3^{3}-12^2*6+7*5-2*(3*2^2+2)]}-2*3^2-2^3

$$x \{ 10 ^ { 2 } - 5 x ^ { 2 } - [ 3 ^ { 3 } - 12 ^ { 2 } \times 6 + 7 \times 5 - 2 \times ( 3 \times 2 ^ { 2 } + 2 ) ] \} - 2 \times 3 ^ { 2 } - 2 ^ { 3 }$$

Evaluate

$$-5x^{3}+930x-26$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$x\left(100-5x^{2}-\left(3^{3}-12^{2}\times 6+7\times 5-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Calculate 3 to the power of 3 and get 27.

$$x\left(100-5x^{2}-\left(27-12^{2}\times 6+7\times 5-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Calculate 12 to the power of 2 and get 144.

$$x\left(100-5x^{2}-\left(27-144\times 6+7\times 5-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Multiply 144 and 6 to get 864.

$$x\left(100-5x^{2}-\left(27-864+7\times 5-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Subtract 864 from 27 to get -837.

$$x\left(100-5x^{2}-\left(-837+7\times 5-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Multiply 7 and 5 to get 35.

$$x\left(100-5x^{2}-\left(-837+35-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Add -837 and 35 to get -802.

$$x\left(100-5x^{2}-\left(-802-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Calculate 2 to the power of 2 and get 4.

$$x\left(100-5x^{2}-\left(-802-2\left(3\times 4+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Multiply 3 and 4 to get 12.

$$x\left(100-5x^{2}-\left(-802-2\left(12+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Add 12 and 2 to get 14.

$$x\left(100-5x^{2}-\left(-802-2\times 14\right)\right)-2\times 3^{2}-2^{3}$$

Multiply 2 and 14 to get 28.

$$x\left(100-5x^{2}-\left(-802-28\right)\right)-2\times 3^{2}-2^{3}$$

Subtract 28 from -802 to get -830.

$$x\left(100-5x^{2}-\left(-830\right)\right)-2\times 3^{2}-2^{3}$$

The opposite of -830 is 830.

$$x\left(100-5x^{2}+830\right)-2\times 3^{2}-2^{3}$$

Use the distributive property to multiply x by 100-5x^{2}+830 and combine like terms.

$$930x-5x^{3}-2\times 3^{2}-2^{3}$$

Calculate 3 to the power of 2 and get 9.

$$930x-5x^{3}-2\times 9-2^{3}$$

Multiply 2 and 9 to get 18.

$$930x-5x^{3}-18-2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$930x-5x^{3}-18-8$$

Subtract 8 from -18 to get -26.

$$930x-5x^{3}-26$$

Expand

$$-5x^{3}+930x-26$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$x\left(100-5x^{2}-\left(3^{3}-12^{2}\times 6+7\times 5-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Calculate 3 to the power of 3 and get 27.

$$x\left(100-5x^{2}-\left(27-12^{2}\times 6+7\times 5-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Calculate 12 to the power of 2 and get 144.

$$x\left(100-5x^{2}-\left(27-144\times 6+7\times 5-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Multiply 144 and 6 to get 864.

$$x\left(100-5x^{2}-\left(27-864+7\times 5-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Subtract 864 from 27 to get -837.

$$x\left(100-5x^{2}-\left(-837+7\times 5-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Multiply 7 and 5 to get 35.

$$x\left(100-5x^{2}-\left(-837+35-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Add -837 and 35 to get -802.

$$x\left(100-5x^{2}-\left(-802-2\left(3\times 2^{2}+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Calculate 2 to the power of 2 and get 4.

$$x\left(100-5x^{2}-\left(-802-2\left(3\times 4+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Multiply 3 and 4 to get 12.

$$x\left(100-5x^{2}-\left(-802-2\left(12+2\right)\right)\right)-2\times 3^{2}-2^{3}$$

Add 12 and 2 to get 14.

$$x\left(100-5x^{2}-\left(-802-2\times 14\right)\right)-2\times 3^{2}-2^{3}$$

Multiply 2 and 14 to get 28.

$$x\left(100-5x^{2}-\left(-802-28\right)\right)-2\times 3^{2}-2^{3}$$

Subtract 28 from -802 to get -830.

$$x\left(100-5x^{2}-\left(-830\right)\right)-2\times 3^{2}-2^{3}$$

The opposite of -830 is 830.

$$x\left(100-5x^{2}+830\right)-2\times 3^{2}-2^{3}$$

Use the distributive property to multiply x by 100-5x^{2}+830 and combine like terms.

$$930x-5x^{3}-2\times 3^{2}-2^{3}$$

Calculate 3 to the power of 2 and get 9.

$$930x-5x^{3}-2\times 9-2^{3}$$

Multiply 2 and 9 to get 18.

$$930x-5x^{3}-18-2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$930x-5x^{3}-18-8$$

Subtract 8 from -18 to get -26.

$$930x-5x^{3}-26$$