(-9x)(2x^2-2x+1/3)

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Solution for (-9x)(2x^2-2x+1/3) equation: 


x in (-oo:+oo)

-9*x*(2*x^2-(2*x)+1/3) = 0

-9*x*(2*x^2-2*x+1/3) = 0

2*x^2-2*x+1/3 = 0

2*x^2-2*x+1/3 = 0

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

DELTA = 4/3

DELTA > 0

x = ((4/3)^(1/2)+2)/(2*2) or x = (2-(4/3)^(1/2))/(2*2)

x = ((4/3)^(1/2)+2)/4 or x = (2-(4/3)^(1/2))/4

(x-((2-(4/3)^(1/2))/4))*(x-(((4/3)^(1/2)+2)/4)) = 0

-9*x*(x-((2-(4/3)^(1/2))/4))*(x-(((4/3)^(1/2)+2)/4)) = 0

( -9*x )

-9*x = 0 // : -9

x = 0

( x-(((4/3)^(1/2)+2)/4) )

x-(((4/3)^(1/2)+2)/4) = 0 // + ((4/3)^(1/2)+2)/4

x = ((4/3)^(1/2)+2)/4

( x-((2-(4/3)^(1/2))/4) )

x-((2-(4/3)^(1/2))/4) = 0 // + (2-(4/3)^(1/2))/4

x = (2-(4/3)^(1/2))/4

x in { 0, ((4/3)^(1/2)+2)/4, (2-(4/3)^(1/2))/4 }

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