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D( x )
x^2+4*x-12 = 0
x+3 = 0
x^2+4*x-12 = 0
x^2+4*x-12 = 0
x^2+4*x-12 = 0
DELTA = 4^2-(-12*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)-4)/(1*2) or x = (-64^(1/2)-4)/(1*2)
x = 2 or x = -6
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-6) U (-6:-3) U (-3:2) U (2:+oo)
(((x^2+3*x-10)/(x^2+4*x-12))*(3*x+18))/(x+3) = 0
((x^2+3*x-10)*(3*x+18))/((x^2+4*x-12)*(x+3)) = 0
x^2+3*x-10 = 0
x^2+3*x-10 = 0
DELTA = 3^2-(-10*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-3)/(1*2) or x = (-49^(1/2)-3)/(1*2)
x = 2 or x = -5
(x+5)*(x-2) = 0
x^2+4*x-12 = 0
x^2+4*x-12 = 0
DELTA = 4^2-(-12*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)-4)/(1*2) or x = (-64^(1/2)-4)/(1*2)
x = 2 or x = -6
(x+6)*(x-2) = 0
((x+5)*(x-2)*(3*x+18))/((x+6)*(x-2)*(x+3)) = 0
( 3*x+18 )
3*x+18 = 0 // - 18
3*x = -18 // : 3
x = -18/3
x = -6
( x+5 )
x+5 = 0 // - 5
x = -5
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -6}
x in { 2}
x = -5
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