Solve -0,25*(x+1)*(x-7)

$$- 0,25 \cdot ( x + 1 ) \cdot ( x - 7 )$$

Evaluate

$$-\frac{\left(x-7\right)\left(x+1\right)}{4}$$

Solution Steps

Use the distributive property to multiply -0,25 by x+1.

$$\left(-0,25x-0,25\right)\left(x-7\right)$$

Apply the distributive property by multiplying each term of -0,25x-0,25 by each term of x-7.

$$-0,25x^{2}+1,75x-0,25x+1,75$$

Combine 1,75x and -0,25x to get 1,5x.

$$-0,25x^{2}+1,5x+1,75$$

Expand

$$-\frac{x^{2}}{4}+\frac{3x}{2}+1,75$$

Solution Steps

Use the distributive property to multiply -0,25 by x+1.

$$\left(-0,25x-0,25\right)\left(x-7\right)$$

Apply the distributive property by multiplying each term of -0,25x-0,25 by each term of x-7.

$$-0,25x^{2}+1,75x-0,25x+1,75$$

Combine 1,75x and -0,25x to get 1,5x.

$$-0,25x^{2}+1,5x+1,75$$