(X-3)(x+6)=(x+5)(x-5)

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Solution for (X-3)(x+6)=(x+5)(x-5) equation:



(X-3)(X+6)=(X+5)(X-5)
We move all terms to the left:
(X-3)(X+6)-((X+5)(X-5))=0
We use the square of the difference formula
X^2+(X-3)(X+6)+25=0
We multiply parentheses ..
X^2+(+X^2+6X-3X-18)+25=0
We get rid of parentheses
X^2+X^2+6X-3X-18+25=0
We add all the numbers together, and all the variables
2X^2+3X+7=0
a = 2; b = 3; c = +7;
Δ = b2-4ac
Δ = 32-4·2·7
Δ = -47
Delta is less than zero, so there is no solution for the equation

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