Solve: $( x+1)( x+2)=( x+11)( x-2)$.

Given: Expression: $( x+1)( x+2)=( x+11)( x-2)$.

To do: To solve: $( x+1)( x+2)=( x+11)( x-2)$.

Solution:

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

$\Rightarrow x^2+x+2x+2=x^2+11x-2x-22$

$\Rightarrow x^2+3x+2=x^2+9x-22$

$\Rightarrow x^2+3x+2-x^2-9x+22=0$

$\Rightarrow -6x+24=0$

$\Rightarrow -6x=-24$

$\Rightarrow x=\frac{24}{6}$

$\Rightarrow x=4$

Thus, $x=4$.

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Updated on: 10-Oct-2022

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