Solve (3sqrt{3}-(2sqrt{3}-sqrt{3}*(x-2))*05)*(8-x)*05

$$(3 \sqrt{ 3 } -(2 \sqrt{ 3 } - \sqrt{ 3 } \times (x-2)) \times 05) \times (8-x) \times 05$$

Evaluate

$$0$$

Solution Steps

Multiply 0 and 5 to get 0.

$$0\left(3\sqrt{3}-0\times 5\left(2\sqrt{3}-\sqrt{3}\left(x-2\right)\right)\right)\left(8-x\right)$$

Multiply 0 and 5 to get 0.

$$0\left(3\sqrt{3}-0\left(2\sqrt{3}-\sqrt{3}\left(x-2\right)\right)\right)\left(8-x\right)$$

Use the distributive property to multiply \sqrt{3} by x-2.

$$0\left(3\sqrt{3}-0\left(2\sqrt{3}-\left(\sqrt{3}x-2\sqrt{3}\right)\right)\right)\left(8-x\right)$$

To find the opposite of \sqrt{3}x-2\sqrt{3}, find the opposite of each term.

$$0\left(3\sqrt{3}-0\left(2\sqrt{3}-\sqrt{3}x-\left(-2\sqrt{3}\right)\right)\right)\left(8-x\right)$$

The opposite of -2\sqrt{3} is 2\sqrt{3}.

$$0\left(3\sqrt{3}-0\left(2\sqrt{3}-\sqrt{3}x+2\sqrt{3}\right)\right)\left(8-x\right)$$

Combine 2\sqrt{3} and 2\sqrt{3} to get 4\sqrt{3}.

$$0\left(3\sqrt{3}-0\left(4\sqrt{3}-\sqrt{3}x\right)\right)\left(8-x\right)$$

Anything times zero gives zero.

$$0\left(3\sqrt{3}-0\right)\left(8-x\right)$$

Anything times zero gives zero.

$$0$$

Factor

$$0$$