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x in (-oo:+oo)
(1/60)*x^2*(36-x) = 18 // - 18
(1/60)*x^2*(36-x)-18 = 0
1/60*x^2*(36-x)-18 = 0
1/60*x^2*(36-x)-18 = 0
3/5*x^2-1/60*x^3-18 = 0
3/5*x^2-1/60*x^3-18 = 0
(-1/60)*x^3+(3/5)*x^2-18 = 0
(-1/60)*x^3+(3/5)*x^2-18 = 0 // * 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 5, -5, 6, -6, 8, -8, 9, -9, 10, -10, 12, -12, 15, -15, 18, -18, 20, -20, 24, -24, 27, -27, 30, -30, 36, -36, 40, -40, 45, -45, 54, -54, 60, -60, 72, -72, 90, -90, 108, -108, 120, -120, 135, -135, 180, -180, 216, -216, 270, -270, 360, -360, 540, -540, 1080, -1080 }
1
x = 1
36*x^2-x^3-1080 = -1045
1
-1
x = -1
36*x^2-x^3-1080 = -1043
-1
2
x = 2
36*x^2-x^3-1080 = -944
2
-2
x = -2
36*x^2-x^3-1080 = -928
-2
3
x = 3
36*x^2-x^3-1080 = -783
3
-3
x = -3
36*x^2-x^3-1080 = -729
-3
4
x = 4
36*x^2-x^3-1080 = -568
4
-4
x = -4
36*x^2-x^3-1080 = -440
-4
5
x = 5
36*x^2-x^3-1080 = -305
5
-5
x = -5
36*x^2-x^3-1080 = -55
-5
6
x = 6
36*x^2-x^3-1080 = 0
6
x-6
30*x-x^2+180
36*x^2-x^3-1080
x-6
x^3-6*x^2
30*x^2-1080
180*x-30*x^2
180*x-1080
1080-180*x
0
30*x-x^2+180 = 0
DELTA = 30^2-(-1*4*180)
DELTA = 1620
DELTA > 0
x = (1620^(1/2)-30)/(-1*2) or x = (-1620^(1/2)-30)/(-1*2)
x = (18*5^(1/2)-30)/(-2) or x = (-18*5^(1/2)-30)/(-2)
x in { (18*5^(1/2)-30)/(-2), (-18*5^(1/2)-30)/(-2), 6}
(x-((18*5^(1/2)-30)/(-2)))*(x-((-18*5^(1/2)-30)/(-2)))*(x-6) = 0
(x-((18*5^(1/2)-30)/(-2)))*(x-((-18*5^(1/2)-30)/(-2)))*(x-6) = 0
( x-((-18*5^(1/2)-30)/(-2)) )
x-((-18*5^(1/2)-30)/(-2)) = 0 // + (-18*5^(1/2)-30)/(-2)
x = (-18*5^(1/2)-30)/(-2)
( x-((18*5^(1/2)-30)/(-2)) )
x-((18*5^(1/2)-30)/(-2)) = 0 // + (18*5^(1/2)-30)/(-2)
x = (18*5^(1/2)-30)/(-2)
( x-6 )
x-6 = 0 // + 6
x = 6
x in { (-18*5^(1/2)-30)/(-2), (18*5^(1/2)-30)/(-2), 6 }
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