Solve x(x+0.5)(3.2-2x)

$$x(x+0.5)(3.2-2x)$$

Evaluate

$$x\left(3.2-2x\right)\left(x+0.5\right)$$

Solution Steps

Use the distributive property to multiply x by x+0.5.

$$\left(x^{2}+0.5x\right)\left(3.2-2x\right)$$

Apply the distributive property by multiplying each term of x^{2}+0.5x by each term of 3.2-2x.

$$3.2x^{2}-2x^{3}+1.6x-x^{2}$$

Combine 3.2x^{2} and -x^{2} to get 2.2x^{2}.

$$2.2x^{2}-2x^{3}+1.6x$$

Expand

$$-2x^{3}+\frac{11x^{2}}{5}+\frac{8x}{5}$$

Solution Steps

Use the distributive property to multiply x by x+0.5.

$$\left(x^{2}+0.5x\right)\left(3.2-2x\right)$$

Apply the distributive property by multiplying each term of x^{2}+0.5x by each term of 3.2-2x.

$$3.2x^{2}-2x^{3}+1.6x-x^{2}$$

Combine 3.2x^{2} and -x^{2} to get 2.2x^{2}.

$$2.2x^{2}-2x^{3}+1.6x$$