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(X-1)(X-2)=(X+3)(X+4)
We move all terms to the left:
(X-1)(X-2)-((X+3)(X+4))=0
We multiply parentheses ..
(+X^2-2X-1X+2)-((X+3)(X+4))=0
We calculate terms in parentheses: -((X+3)(X+4)), so:We get rid of parentheses
(X+3)(X+4)
We multiply parentheses ..
(+X^2+4X+3X+12)
We get rid of parentheses
X^2+4X+3X+12
We add all the numbers together, and all the variables
X^2+7X+12
Back to the equation:
-(X^2+7X+12)
X^2-X^2-2X-1X-7X+2-12=0
We add all the numbers together, and all the variables
-10X-10=0
We move all terms containing X to the left, all other terms to the right
-10X=10
X=10/-10
X=-1
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