Question

solve : (x+1)(x+2)=(x-3)(x-4)​

Answer 1

Answer:

((x - 1) • (x - 2)) - (x - 3) • (x - 4) = 0

Step 2 :

Equation at the end of step 2 :

(x - 1) • (x - 2) - (x - 3) • (x - 4) = 0

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

4x - 10 = 2 • (2x - 5)

Equation at the end of step 4 :

2 • (2x - 5) = 0

Step 5 :

Equations which are never true :

5.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

5.2 Solve : 2x-5 = 0

Add 5 to both sides of the equation :

2x = 5

Divide both sides of the equation by 2:

x = 5/2 = 2.500

One solution was found :

x = 5/2 = 2.500

Answer 2

Answer:-

$(x + 1)(x + 2) = (x - 3)(x - 4) \\ {x}^{2} + 2x + x + 2 = {x}^{2} - 4x - 3x + 12 \\ 3x + 2 = - 7x + 12 \\ 10x = 10 \\ x = 1$