-3/30(x^3)+3x^2=400

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Solution for -3/30(x^3)+3x^2=400 equation:


x in (-oo:+oo)

(-3/30)*x^3+3*x^2 = 400 // - 400

(-3/30)*x^3+3*x^2-400 = 0

(-1/10)*x^3+3*x^2-400 = 0

(-1/10)*x^3+3*x^2-400 = 0 // * 0

{ 1, -1, 2, -2, 4, -4, 5, -5, 8, -8, 10, -10, 16, -16, 20, -20, 25, -25, 32, -32, 40, -40, 50, -50, 80, -80, 100, -100, 125, -125, 160, -160, 200, -200, 250, -250, 400, -400, 500, -500, 800, -800, 1000, -1000, 2000, -2000, 4000, -4000 }

1

x = 1

30*x^2-x^3-4000 = -3971

1

-1

x = -1

30*x^2-x^3-4000 = -3969

-1

2

x = 2

30*x^2-x^3-4000 = -3888

2

-2

x = -2

30*x^2-x^3-4000 = -3872

-2

4

x = 4

30*x^2-x^3-4000 = -3584

4

-4

x = -4

30*x^2-x^3-4000 = -3456

-4

5

x = 5

30*x^2-x^3-4000 = -3375

5

-5

x = -5

30*x^2-x^3-4000 = -3125

-5

8

x = 8

30*x^2-x^3-4000 = -2592

8

-8

x = -8

30*x^2-x^3-4000 = -1568

-8

10

x = 10

30*x^2-x^3-4000 = -2000

10

-10

x = -10

30*x^2-x^3-4000 = 0

-10

x+10

40*x-x^2-400

30*x^2-x^3-4000

x+10

x^3+10*x^2

40*x^2-4000

-40*x^2-400*x

-400*x-4000

400*x+4000

0

40*x-x^2-400 = 0

DELTA = 40^2-(-400*(-1)*4)

DELTA = 0

x = -40/(-1*2)

x = 20 or x = 20

x in { 20, 20, -10}

x in { 20, 20, -10 }

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