2/3*(x^3-2x^2-7x-4)=-12

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Solution for 2/3*(x^3-2x^2-7x-4)=-12 equation: 


x in (-oo:+oo)

(2/3)*(x^3-(2*x^2)-(7*x)-4) = -12 // + 12

(2/3)*(x^3-(2*x^2)-(7*x)-4)+12 = 0

(2/3)*(x^3-2*x^2-7*x-4)+12 = 0

2/3*(x^3-2*x^2-7*x-4)+12 = 0

2/3*(x^3-2*x^2-7*x-4)+12 = 0

2/3*x^3-4/3*x^2-14/3*x+28/3 = 0

2/3*x^3-4/3*x^2-14/3*x+28/3 = 0

2/3*(x^3-2*x^2-7*x+14) = 0

x^3-2*x^2-7*x+14 = 0

{ 1, -1, 2, -2, 7, -7, 14, -14 }

1

x = 1

x^3-2*x^2-7*x+14 = 6

1

-1

x = -1

x^3-2*x^2-7*x+14 = 18

-1

2

x = 2

x^3-2*x^2-7*x+14 = 0

2

x-2

x^2-7

x^3-2*x^2-7*x+14

x-2

2*x^2-x^3

14-7*x

7*x-14

0

x^2-7 = 0

DELTA = 0^2-(-7*1*4)

DELTA = 28

DELTA > 0

x = (28^(1/2)+0)/(1*2) or x = (0-28^(1/2))/(1*2)

x = 7^(1/2) or x = -7^(1/2)

x in { -7^(1/2), 7^(1/2), 2} 

2/3*(x+7^(1/2))*(x-7^(1/2))*(x-2) = 0

2/3*(x+7^(1/2))*(x-7^(1/2))*(x-2) = 0

( x+7^(1/2) )

x+7^(1/2) = 0 // - 7^(1/2)

x = -7^(1/2)

( x-2 )

x-2 = 0 // + 2

x = 2

( x-7^(1/2) )

x-7^(1/2) = 0 // + 7^(1/2)

x = 7^(1/2)

x in { -7^(1/2), 2, 7^(1/2) }

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