Someone please answer 2x(3x-8) =

Simplifying

2x(3x + -8) = 0

Reorder the terms:

2x(-8 + 3x) = 0

(-8 * 2x + 3x * 2x) = 0

(-16x + 6x2) = 0

Solving

-16x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.

2x(-8 + 3x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

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

Simplifying

x = 0

Subproblem 2

Set the factor '(-8 + 3x)' equal to zero and attempt to solve:

Simplifying

-8 + 3x = 0

Solving

-8 + 3x = 0

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

Add '8' to each side of the equation.

-8 + 8 + 3x = 0 + 8

Combine like terms: -8 + 8 = 0

0 + 3x = 0 + 8

3x = 0 + 8

Combine like terms: 0 + 8 = 8

3x = 8

Divide each side by '3'.

x = 2.666666667

Simplifying

x = 2.666666667

Solution

x = {0, 2.666666667}

Step-by-step explanation:

answer: '

the distance between points l and m

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: