Solve (x-0)(x-0.5)(x-2)=

$$( x - 0 ) ( x - 0.5 ) ( x - 2 ) =$$

Evaluate

$$x\left(x-2\right)\left(x-0.5\right)$$

Solution Steps

Use the distributive property to multiply x-0 by x-0.5.

$$\left(\left(x-0\right)x-0.5\left(x-0\right)\right)\left(x-2\right)$$

Apply the distributive property by multiplying each term of \left(x-0\right)x-0.5\left(x-0\right) by each term of x-2.

$$\left(x-0\right)x^{2}-2\left(x-0\right)x-0.5\left(x-0\right)x+x-0$$

Combine -2\left(x-0\right)x and -0.5\left(x-0\right)x to get -2.5\left(x-0\right)x.

$$\left(x-0\right)x^{2}-2.5\left(x-0\right)x+x-0$$

Multiply -1 and 0 to get 0.

$$\left(x+0\right)x^{2}-2.5\left(x-0\right)x+x-0$$

Anything plus zero gives itself.

$$xx^{2}-2.5\left(x-0\right)x+x-0$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$x^{3}-2.5\left(x-0\right)x+x-0$$

Multiply -1 and 0 to get 0.

$$x^{3}-2.5xx+x-0$$

Multiply x and x to get x^{2}.

$$x^{3}-2.5x^{2}+x-0$$

Multiply -1 and 0 to get 0.

$$x^{3}-2.5x^{2}+x+0$$

Anything plus zero gives itself.

$$x^{3}-2.5x^{2}+x$$

Expand

$$x^{3}-\frac{5x^{2}}{2}+x$$

Solution Steps

Use the distributive property to multiply x-0 by x-0.5.

$$\left(\left(x-0\right)x-0.5\left(x-0\right)\right)\left(x-2\right)$$

Apply the distributive property by multiplying each term of \left(x-0\right)x-0.5\left(x-0\right) by each term of x-2.

$$\left(x-0\right)x^{2}-2\left(x-0\right)x-0.5\left(x-0\right)x+x-0$$

Combine -2\left(x-0\right)x and -0.5\left(x-0\right)x to get -2.5\left(x-0\right)x.

$$\left(x-0\right)x^{2}-2.5\left(x-0\right)x+x-0$$

Multiply -1 and 0 to get 0.

$$\left(x+0\right)x^{2}-2.5\left(x-0\right)x+x-0$$

Anything plus zero gives itself.

$$xx^{2}-2.5\left(x-0\right)x+x-0$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$x^{3}-2.5\left(x-0\right)x+x-0$$

Multiply -1 and 0 to get 0.

$$x^{3}-2.5xx+x-0$$

Multiply x and x to get x^{2}.

$$x^{3}-2.5x^{2}+x-0$$

Multiply -1 and 0 to get 0.

$$x^{3}-2.5x^{2}+x+0$$

Anything plus zero gives itself.

$$x^{3}-2.5x^{2}+x$$