Question

Amin is attempting to solve the following equation. (x+1)(x+4)=(x-2)(x-3) solve the equation

Answer 1

Explanation:

Hey there!

Given;

(X+1) (X+4) = (x-2) (x-3)

Multiply (X+1) and (X+4) on left side and (x-2) and (x-3) on right side.

`{x}^(2) + 4x + x + 4 = {x}^(2) - 3x - 2x + 6`

Simplify it.

`5x + 4 = - 5x + 6`

`10x = 6 -4`

`x = (2)/(10)`

Therefore, x= 1/5.

Hope it helps....

Answer 2

Answer: x = 1/5

After expanding, (x+1)(x+4) = (x-2)(x-3) becomes x² + 5x + 4 = x² - 5x + 6. Subtracting x² and adding 5x to both sides, we have 10x = 2 and x = 1/5. You can plug this in to check.

i hope this was helpful! :D