x^3/8=9-4x

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Solution for x^3/8=9-4x equation: 


x in (-oo:+oo)

(x^3)/8 = 9-(4*x) // - 9-(4*x)

(x^3)/8+4*x-9 = 0

(1/8)*x^3+4*x-9 = 0

(1/8)*x^3+4*x-9 = 0 // * 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 9, -9, 12, -12, 18, -18, 24, -24, 36, -36, 72, -72 }

1

x = 1

x^3+32*x-72 = -39

1

-1

x = -1

x^3+32*x-72 = -105

-1

2

x = 2

x^3+32*x-72 = 0

2

x-2

x^2+2*x+36

x^3+32*x-72

x-2

2*x^2-x^3

2*x^2+32*x-72

4*x-2*x^2

36*x-72

72-36*x

0

x^2+2*x+36 = 0

DELTA = 2^2-(1*4*36)

DELTA = -140

DELTA < 0

x in { 2} 

x = 2

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