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D( x )
2*x^2+2*x = 0
x+1 = 0
5*x = 0
2*x^2+2*x = 0
2*x^2+2*x = 0
2*x^2+2*x = 0
DELTA = 2^2-(0*2*4)
DELTA = 4
DELTA > 0
x = (4^(1/2)-2)/(2*2) or x = (-4^(1/2)-2)/(2*2)
x = 0 or x = -1
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
5*x = 0
5*x = 0
5*x = 0 // : 5
x = 0
x in (-oo:-1) U (-1:0) U (0:+oo)
6/(5*x)-(1/(x+1)) = 1/(2*x^2+2*x) // - 1/(2*x^2+2*x)
6/(5*x)-(1/(x+1))-(1/(2*x^2+2*x)) = 0
6/(5*x)-(x+1)^-1-(2*x^2+2*x)^-1 = 0
6/(5*x)-1/(x+1)-1/(2*x^2+2*x) = 0
2*x^2+2*x = 0
2*x^2+2*x = 0
2*x*(x+1) = 0
x+1 = 0 // - 1
x = -1
2*x*(x+1) = 0
6/(5*x)-1/(x+1)-1/(2*x*(x+1)) = 0
(-1*2*5*x*x)/(2*5*x*x*(x+1))+(-1*5*x)/(2*5*x*x*(x+1))+(2*6*x*(x+1))/(2*5*x*x*(x+1)) = 0
2*6*x*(x+1)-1*2*5*x*x-1*5*x = 0
12*x^2-10*x^2-5*x+12*x = 0
2*x^2+7*x = 0
2*x^2+7*x = 0
x*(2*x+7) = 0
2*x+7 = 0 // - 7
2*x = -7 // : 2
x = -7/2
x*(x+7/2) = 0
(x*(x+7/2))/(2*5*x*x*(x+1)) = 0
(x*(x+7/2))/(2*5*x*x*(x+1)) = 0 // * 2*5*x*x*(x+1)
x*(x+7/2) = 0
( x+7/2 )
x+7/2 = 0 // - 7/2
x = -7/2
( x )
x = 0
x in { 0}
x = -7/2
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