Question

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

Select the appropriate response:
A)0.5
B)5.0

Answer 1

Explanation:

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

`x^2-5x+6=x^2+3x+2`

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.

Answer 2

The answer to your question is the letter A) 0.5

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