2/3(4x+6x^2-2x^3)

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Solution for 2/3(4x+6x^2-2x^3) equation: 


x in (-oo:+oo)

(2/3)*(6*x^2-(2*x^3)+4*x) = 0

(2/3)*(6*x^2-2*x^3+4*x) = 0

2/3*(6*x^2-2*x^3+4*x) = 0

6*x^2-2*x^3+4*x = 0

2*x*(3*x-x^2+2) = 0

3*x-x^2+2 = 0

DELTA = 3^2-(-1*2*4)

DELTA = 17

DELTA > 0

x = (17^(1/2)-3)/(-1*2) or x = (-17^(1/2)-3)/(-1*2)

x = (17^(1/2)-3)/(-2) or x = (17^(1/2)+3)/2

2*x*(x-((17^(1/2)-3)/(-2)))*(x-((17^(1/2)+3)/2)) = 0

2/3*2*x*(x-((17^(1/2)-3)/(-2)))*(x-((17^(1/2)+3)/2)) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x-((17^(1/2)+3)/2) )

x-((17^(1/2)+3)/2) = 0 // + (17^(1/2)+3)/2

x = (17^(1/2)+3)/2

( x-((17^(1/2)-3)/(-2)) )

x-((17^(1/2)-3)/(-2)) = 0 // + (17^(1/2)-3)/(-2)

x = (17^(1/2)-3)/(-2)

x in { 0, (17^(1/2)+3)/2, (17^(1/2)-3)/(-2) }

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