Solve: (x-2)(x-3)=(x+1)(x+2)

Select the appropriate response:
A)0.5
B)5.0

Step-by-step explanation:

Let's FOIL out both sides and then see where we are after that:

Let's combine like terms now and get everything on one side of the equals sign and set the polynomial equal to 0 to solve for x:

0 = 8x - 4 and we can factor out a 4 to give us:

0 = 4(2x - 1)

Either 4 = 0 or 2x - 1 = 0.  Well it's obvious that 4 does not equal 0, so 2x-1 must equal 0.  Then

2x = 1 so

x = 1/2 or choice A on the left.

The answer to your question is the letter A) 0.5

Step-by-step explanation:

Data

Equation          (x - 2)(x - 3) = (x + 1)(x + 2)

Process

1.- Expand

                        x² - 3x - 2x + 6 = x² + 2x + x + 2

2.- Simplify like terms

                       x² - 5x + 6 = x² + 3x + 2

3.- Group like terms

                        x² - x² - 5x - 3x = 2 - 6

4.- Solve for x

                                         -8x = -4

                                            x = -4/-8

                                            x = 1/2

                                            x = 0.5

14

step-by-step explanation:

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.