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D( x )
x+7 = 0
x+7 = 0
x+7 = 0
x+7 = 0 // - 7
x = -7
x in (-oo:-7) U (-7:+oo)
(6*x^2+57*x+36)/(x+7) = 0
6*x^2+57*x+36 = 0
3*(2*x^2+19*x+12) = 0
2*x^2+19*x+12 = 0
DELTA = 19^2-(2*4*12)
DELTA = 265
DELTA > 0
x = (265^(1/2)-19)/(2*2) or x = (-265^(1/2)-19)/(2*2)
x = (265^(1/2)-19)/4 or x = (-(265^(1/2)+19))/4
3*(x+(265^(1/2)+19)/4)*(x-((265^(1/2)-19)/4)) = 0
(3*(x+(265^(1/2)+19)/4)*(x-((265^(1/2)-19)/4)))/(x+7) = 0
( x+(265^(1/2)+19)/4 )
x+(265^(1/2)+19)/4 = 0 // - (265^(1/2)+19)/4
x = -((265^(1/2)+19)/4)
( x-((265^(1/2)-19)/4) )
x-((265^(1/2)-19)/4) = 0 // + (265^(1/2)-19)/4
x = (265^(1/2)-19)/4
x in { -((265^(1/2)+19)/4), (265^(1/2)-19)/4 }
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