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x in (-oo:+oo)
(4*x-6)/2 = x^2-(2*x)-24 // - x^2-(2*x)-24
(4*x-6)/2-x^2+2*x+24 = 0
(4*x-6)/2+(2*(-x^2))/2+(2*2*x)/2+(2*24)/2 = 0
2*(-x^2)+4*x+2*2*x+2*24-6 = 0
4*x-2*x^2+4*x-6+48 = 0
8*x-2*x^2-6+48 = 0
8*x-2*x^2+42 = 0
8*x-2*x^2+42 = 0
2*(4*x-x^2+21) = 0
4*x-x^2+21 = 0
DELTA = 4^2-(-1*4*21)
DELTA = 100
DELTA > 0
x = (100^(1/2)-4)/(-1*2) or x = (-100^(1/2)-4)/(-1*2)
x = -3 or x = 7
2*(x+3)*(x-7) = 0
(2*(x+3)*(x-7))/2 = 0
(2*(x+3)*(x-7))/2 = 0 // * 2
2*(x+3)*(x-7) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-7 )
x-7 = 0 // + 7
x = 7
x in { -3, 7 }
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