Question

solve (x+1)(x+2)=(x-5)(x-6)

Answer 1

(x+1)(x+2)=(x-5)(x-6)

x^2 + 3x + 2 = x^2 - 11x + 30

14x = 28

Therefore,

x = 2

Hope this helps you!

Answer 2

$\textbf{\huge{SOLUTION}}$

(x +1)(x + 2) = (x-5)(x-6)

x²+x+2x+2 = x²-5x-6x-30

x²+3x+2 = x²-11x+30

3x + 2 = x² - 11x + 30 - x²

3x + 2 = -11x + 30

3x + 11x = 30 - 2

14 x = 28

x = 2

Hence,

$\boxed{\boxed{x=2}}$

LHS-

(2+1)(2+2)

= (3)(4)

= 12

RHS

(2-5)(2-6)

(-3)(-4)

= 12

Hence verified