Question

(x+1)(x+2)=(x+11)(x-2)​

Answer 1

Answer:

(x+1)(x+2)=(x+11)(x-2)

x^2+x+2x+2=x^2+11x-2x-22

x^2+3x+2=x^2+9x-22

3x+2=9x-22

3x-9x=-22-2

-6x=-24

x=4

Answer 2

$\tt (x+1)(x+2)=(x+11)(x-2)$

$\tt {x}^{2} + 3x + 2 = (x+11)(x-2)$

$\tt{x}^{2} + 3x + 2 = {x}^{2} + 9x - 22$

$\tt{x}^{2} + 3x + 2 - ( {x}^{2} + 9x - 22) = 0$

$\tt - 6x + 24 = 0$

$\tt - 6x + 24 - 24 = 0 - 24$

$\tt - 6x = - 24$

$\tt \frac{ - 6x}{ - 6} = \frac{ - 24}{ - 6}$

$\tt \: x = 4$

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