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D( x )
6*x+3 = 0
x^2-(2*x)-15 = 0
6*x+3 = 0
6*x+3 = 0
6*x+3 = 0 // - 3
6*x = -3 // : 6
x = -3/6
x = -1/2
x^2-(2*x)-15 = 0
x^2-(2*x)-15 = 0
x^2-2*x-15 = 0
x^2-2*x-15 = 0
DELTA = (-2)^2-(-15*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)
x = 5 or x = -3
x in (-oo:-3) U (-3:-1/2) U (-1/2:5) U (5:+oo)
((10*x+5)/(x^2-(2*x)-15))*((x^2-x-6)/(6*x+3)) = 0
((10*x+5)/(x^2-2*x-15))*((x^2-x-6)/(6*x+3)) = 0
((10*x+5)*(x^2-x-6))/((x^2-2*x-15)*(6*x+3)) = 0
x^2-2*x-15 = 0
x^2-2*x-15 = 0
DELTA = (-2)^2-(-15*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)
x = 5 or x = -3
(x+3)*(x-5) = 0
x^2-x-6 = 0
x^2-x-6 = 0
DELTA = (-1)^2-(-6*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)
x = 3 or x = -2
(x+2)*(x-3) = 0
((10*x+5)*(x+2)*(x-3))/((x+3)*(x-5)*(6*x+3)) = 0
( 10*x+5 )
10*x+5 = 0 // - 5
10*x = -5 // : 10
x = -5/10
x = -1/2
( x+2 )
x+2 = 0 // - 2
x = -2
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -1/2}
x in { -2, 3 }
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