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D( x )
2*x+12 = 0
2*x+12 = 0
2*x+12 = 0
2*x+12 = 0 // - 12
2*x = -12 // : 2
x = -12/2
x = -6
x in (-oo:-6) U (-6:+oo)
(6/(2*x+12))*(x^2+x)+x^2+7*x = 0
(6*(x^2+x))/(2*x+12)+x^2+7*x = 0
(6*(x^2+x))/(2*x+12)+(x^2*(2*x+12))/(2*x+12)+(7*x*(2*x+12))/(2*x+12) = 0
6*(x^2+x)+x^2*(2*x+12)+7*x*(2*x+12) = 0
2*x^3+18*x^2+14*x^2+6*x+84*x = 0
2*x^3+32*x^2+90*x = 0
2*x^3+32*x^2+90*x = 0
2*x*(x^2+16*x+45) = 0
x^2+16*x+45 = 0
DELTA = 16^2-(1*4*45)
DELTA = 76
DELTA > 0
x = (76^(1/2)-16)/(1*2) or x = (-76^(1/2)-16)/(1*2)
x = (2*19^(1/2)-16)/2 or x = (-2*19^(1/2)-16)/2
2*x*(x-((-2*19^(1/2)-16)/2))*(x-((2*19^(1/2)-16)/2)) = 0
(2*x*(x-((-2*19^(1/2)-16)/2))*(x-((2*19^(1/2)-16)/2)))/(2*x+12) = 0
(2*x*(x-((-2*19^(1/2)-16)/2))*(x-((2*19^(1/2)-16)/2)))/(2*x+12) = 0 // * 2*x+12
2*x*(x-((-2*19^(1/2)-16)/2))*(x-((2*19^(1/2)-16)/2)) = 0
( 2*x )
2*x = 0 // : 2
x = 0
( x-((-2*19^(1/2)-16)/2) )
x-((-2*19^(1/2)-16)/2) = 0 // + (-2*19^(1/2)-16)/2
x = (-2*19^(1/2)-16)/2
( x-((2*19^(1/2)-16)/2) )
x-((2*19^(1/2)-16)/2) = 0 // + (2*19^(1/2)-16)/2
x = (2*19^(1/2)-16)/2
x in { 0, (-2*19^(1/2)-16)/2, (2*19^(1/2)-16)/2 }
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