(x+5)(x+2)-3(4x-3)=(x-5)

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Solution for (x+5)(x+2)-3(4x-3)=(x-5) equation:



(x+5)(x+2)-3(4x-3)=(x-5)
We move all terms to the left:
(x+5)(x+2)-3(4x-3)-((x-5))=0
We multiply parentheses
(x+5)(x+2)-12x-((x-5))+9=0
We multiply parentheses ..
(+x^2+2x+5x+10)-12x-((x-5))+9=0
We calculate terms in parentheses: -((x-5)), so:
(x-5)
We get rid of parentheses
x-5
Back to the equation:
-(x-5)
We get rid of parentheses
x^2+2x+5x-12x-x+10+5+9=0
We add all the numbers together, and all the variables
x^2-6x+24=0
a = 1; b = -6; c = +24;
Δ = b2-4ac
Δ = -62-4·1·24
Δ = -60
Delta is less than zero, so there is no solution for the equation

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