(X+3)(x+7)=-(x-3)(x-4)

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Solution for (X+3)(x+7)=-(x-3)(x-4) equation:



(X+3)(X+7)=-(X-3)(X-4)
We move all terms to the left:
(X+3)(X+7)-(-(X-3)(X-4))=0
We multiply parentheses ..
(+X^2+7X+3X+21)-(-(X-3)(X-4))=0
We calculate terms in parentheses: -(-(X-3)(X-4)), so:
-(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
-1X^2+7X-12
Back to the equation:
-(-1X^2+7X-12)
We get rid of parentheses
X^2+1X^2+7X+3X-7X+21+12=0
We add all the numbers together, and all the variables
2X^2+3X+33=0
a = 2; b = 3; c = +33;
Δ = b2-4ac
Δ = 32-4·2·33
Δ = -255
Delta is less than zero, so there is no solution for the equation

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