(x+1)(x+2)=(x-4)(x+5)

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Solution for (x+1)(x+2)=(x-4)(x+5) equation: 



(x+1)(x+2)=(x-4)(x+5)

We move all terms to the left:

(x+1)(x+2)-((x-4)(x+5))=0

We multiply parentheses ..

(+x^2+2x+x+2)-((x-4)(x+5))=0



We calculate terms in parentheses: -((x-4)(x+5)), so:

(x-4)(x+5)

We multiply parentheses ..

(+x^2+5x-4x-20)

We get rid of parentheses

x^2+5x-4x-20

We add all the numbers together, and all the variables

x^2+x-20

Back to the equation:

-(x^2+x-20)



We get rid of parentheses

x^2-x^2+2x+x-x+2+20=0

We add all the numbers together, and all the variables

2x+22=0

We move all terms containing x to the left, all other terms to the right

2x=-22

x=-22/2

x=-11

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