The path of a ball kicked from the ground can be modeled by the equation y=−1/4(x−2)(x−22),

The ball land 20 feet away from where it is kicked.

Step-by-step explanation:

The path of a ball kicked from the ground can be modeled by the equation:

Where x represents the ground.

Substitute y= 0

So,

So, Distance covered by ball = 22-2=20

So, The ball land 20 feet away from where it is kicked.

x=4

Simplifying

2x + 6 = 4x + -2    

Reorder the terms:

6 + 2x = 4x + -2

Reorder the terms:

6 + 2x = -2 + 4x

Solving

6 + 2x = -2 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

6 + 2x + -4x = -2 + 4x + -4x

Combine like terms: 2x + -4x = -2x

6 + -2x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0

6 + -2x = -2 + 0

6 + -2x = -2

Add '-6' to each side of the equation.

6 + -6 + -2x = -2 + -6

Combine like terms: 6 + -6 = 0

0 + -2x = -2 + -6

-2x = -2 + -6

Combine like terms: -2 + -6 = -8

-2x = -8

Divide each side by '-2'.

x = 4

Simplifying

x = 4