(x+3)(x+4)=(x-2)(x+1)

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Solution for (x+3)(x+4)=(x-2)(x+1) equation:



(x+3)(x+4)=(x-2)(x+1)
We move all terms to the left:
(x+3)(x+4)-((x-2)(x+1))=0
We multiply parentheses ..
(+x^2+4x+3x+12)-((x-2)(x+1))=0
We calculate terms in parentheses: -((x-2)(x+1)), so:
(x-2)(x+1)
We multiply parentheses ..
(+x^2+x-2x-2)
We get rid of parentheses
x^2+x-2x-2
We add all the numbers together, and all the variables
x^2-1x-2
Back to the equation:
-(x^2-1x-2)
We get rid of parentheses
x^2-x^2+4x+3x+1x+12+2=0
We add all the numbers together, and all the variables
8x+14=0
We move all terms containing x to the left, all other terms to the right
8x=-14
x=-14/8
x=-1+3/4

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