X(2x+1)=(x-3)(x+5)

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Solution for X(2x+1)=(x-3)(x+5) equation:



X(2X+1)=(X-3)(X+5)
We move all terms to the left:
X(2X+1)-((X-3)(X+5))=0
We multiply parentheses
2X^2+X-((X-3)(X+5))=0
We multiply parentheses ..
2X^2-((+X^2+5X-3X-15))+X=0
We calculate terms in parentheses: -((+X^2+5X-3X-15)), so:
(+X^2+5X-3X-15)
We get rid of parentheses
X^2+5X-3X-15
We add all the numbers together, and all the variables
X^2+2X-15
Back to the equation:
-(X^2+2X-15)
We add all the numbers together, and all the variables
2X^2+X-(X^2+2X-15)=0
We get rid of parentheses
2X^2-X^2+X-2X+15=0
We add all the numbers together, and all the variables
X^2-1X+15=0
a = 1; b = -1; c = +15;
Δ = b2-4ac
Δ = -12-4·1·15
Δ = -59
Delta is less than zero, so there is no solution for the equation

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