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(x-2)(x+3)=(x-1)(x+4)
We move all terms to the left:
(x-2)(x+3)-((x-1)(x+4))=0
We multiply parentheses ..
(+x^2+3x-2x-6)-((x-1)(x+4))=0
We calculate terms in parentheses: -((x-1)(x+4)), so:We get rid of parentheses
(x-1)(x+4)
We multiply parentheses ..
(+x^2+4x-1x-4)
We get rid of parentheses
x^2+4x-1x-4
We add all the numbers together, and all the variables
x^2+3x-4
Back to the equation:
-(x^2+3x-4)
x^2-x^2+3x-2x-3x-6+4=0
We add all the numbers together, and all the variables
-2x-2=0
We move all terms containing x to the left, all other terms to the right
-2x=2
x=2/-2
x=-1
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