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D( x )
2*x^2-(5*x)-12 = 0
4*x-20 = 0
2*x^2-(5*x)-12 = 0
2*x^2-(5*x)-12 = 0
2*x^2-5*x-12 = 0
2*x^2-5*x-12 = 0
DELTA = (-5)^2-(-12*2*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)+5)/(2*2) or x = (5-121^(1/2))/(2*2)
x = 4 or x = -3/2
4*x-20 = 0
4*x-20 = 0
4*x-20 = 0 // + 20
4*x = 20 // : 4
x = 20/4
x = 5
x in (-oo:-3/2) U (-3/2:4) U (4:5) U (5:+oo)
(((9-(4*x^2))/(4*x-20))*(24*x^2-(6*x^3)))/(2*x^2-(5*x)-12) = 0
(((9-4*x^2)/(4*x-20))*(24*x^2-6*x^3))/(2*x^2-5*x-12) = 0
((9-4*x^2)*(24*x^2-6*x^3))/((4*x-20)*(2*x^2-5*x-12)) = 0
24*x^2-6*x^3 = 0
6*x^2*(4-x) = 0
4-x = 0 // - 4
-x = -4 // * -1
x = 4
6*x^2*(x-4) = 0
2*x^2-5*x-12 = 0
2*x^2-5*x-12 = 0
DELTA = (-5)^2-(-12*2*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)+5)/(2*2) or x = (5-121^(1/2))/(2*2)
x = 4 or x = -3/2
(x+3/2)*(x-4) = 0
(6*x^2*(9-4*x^2)*(x-4))/((4*x-20)*(x+3/2)*(x-4)) = 0
( 6*x^2 )
6*x^2 = 0 // : 6
x^2 = 0
x = 0
( 9-4*x^2 )
-4*x^2 = -9 // : -4
x^2 = 9/4
x^2 = 9/4 // ^ 1/2
abs(x) = 3/2
x = 3/2 or x = -3/2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { -3/2}
x in { 4}
x in { 0, 3/2 }
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