To solve this equation, we will first expand the terms:
(x+1)(x+2) - (x+3)(x+4= x^2 + 2x + x + 2 - (x^2 + 4x + 3x + 12= x^2 + 3x + 2 - x^2 - 7x - 1= -4x - 10
Now we set this expression equal to 0 and solve for x:
-4x - 10 = -4x = 1x = -10/x = -5/2
Therefore, the solution to the equation (x+1)(x+2) - (x+3)(x+4) = 0 is x = -5/2.
To solve this equation, we will first expand the terms:
(x+1)(x+2) - (x+3)(x+4
= x^2 + 2x + x + 2 - (x^2 + 4x + 3x + 12
= x^2 + 3x + 2 - x^2 - 7x - 1
= -4x - 10
Now we set this expression equal to 0 and solve for x:
-4x - 10 =
-4x = 1
x = -10/
x = -5/2
Therefore, the solution to the equation (x+1)(x+2) - (x+3)(x+4) = 0 is x = -5/2.