(1/3x2-x-1)(-3x)

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Solution for (1/3x2-x-1)(-3x) equation: 


x in (-oo:+oo)

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

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

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

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

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

DELTA = 7/3

DELTA > 0

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

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

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

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

( -3*x )

-3*x = 0 // : -3

x = 0

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

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

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

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

( x-3/2*(1-(7/3)^(1/2)) )

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

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

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

x in { 0, 3/2*((7/3)^(1/2)+1), 3/2*(1-(7/3)^(1/2)) }

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