(5x-3)(x+2)=(x-)2-20

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Solution for (5x-3)(x+2)=(x-)2-20 equation:



(5x-3)(x+2)=(x-)2-20
We move all terms to the left:
(5x-3)(x+2)-((x-)2-20)=0
We add all the numbers together, and all the variables
(5x-3)(x+2)-((+x)2-20)=0
We multiply parentheses ..
(+5x^2+10x-3x-6)-((+x)2-20)=0
We calculate terms in parentheses: -((+x)2-20), so:
(+x)2-20
We multiply parentheses
2x-20
Back to the equation:
-(2x-20)
We get rid of parentheses
5x^2+10x-3x-2x-6+20=0
We add all the numbers together, and all the variables
5x^2+5x+14=0
a = 5; b = 5; c = +14;
Δ = b2-4ac
Δ = 52-4·5·14
Δ = -255
Delta is less than zero, so there is no solution for the equation

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