(X-3)(x+4)=(x-11)(x+6)

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Solution for (X-3)(x+4)=(x-11)(x+6) equation:



(X-3)(X+4)=(X-11)(X+6)
We move all terms to the left:
(X-3)(X+4)-((X-11)(X+6))=0
We multiply parentheses ..
(+X^2+4X-3X-12)-((X-11)(X+6))=0
We calculate terms in parentheses: -((X-11)(X+6)), so:
(X-11)(X+6)
We multiply parentheses ..
(+X^2+6X-11X-66)
We get rid of parentheses
X^2+6X-11X-66
We add all the numbers together, and all the variables
X^2-5X-66
Back to the equation:
-(X^2-5X-66)
We get rid of parentheses
X^2-X^2+4X-3X+5X-12+66=0
We add all the numbers together, and all the variables
6X+54=0
We move all terms containing X to the left, all other terms to the right
6X=-54
X=-54/6
X=-9

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