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

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



(X-3)(X+4)=(X-2)(X-2)
We move all terms to the left:
(X-3)(X+4)-((X-2)(X-2))=0
We multiply parentheses ..
(+X^2+4X-3X-12)-((X-2)(X-2))=0
We calculate terms in parentheses: -((X-2)(X-2)), so:
(X-2)(X-2)
We multiply parentheses ..
(+X^2-2X-2X+4)
We get rid of parentheses
X^2-2X-2X+4
We add all the numbers together, and all the variables
X^2-4X+4
Back to the equation:
-(X^2-4X+4)
We get rid of parentheses
X^2-X^2+4X-3X+4X-12-4=0
We add all the numbers together, and all the variables
5X-16=0
We move all terms containing X to the left, all other terms to the right
5X=16
X=16/5
X=3+1/5

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