3/8(40x^2-16x-32)

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Solution for 3/8(40x^2-16x-32) equation: 


x in (-oo:+oo)

(3/8)*(40*x^2-(16*x)-32) = 0

(3/8)*(40*x^2-16*x-32) = 0

3/8*(40*x^2-16*x-32) = 0

40*x^2-16*x-32 = 0

8*(5*x^2-2*x-4) = 0

5*x^2-2*x-4 = 0

DELTA = (-2)^2-(-4*4*5)

DELTA = 84

DELTA > 0

x = (84^(1/2)+2)/(2*5) or x = (2-84^(1/2))/(2*5)

x = (2*21^(1/2)+2)/10 or x = (2-2*21^(1/2))/10

8*(x-((2-2*21^(1/2))/10))*(x-((2*21^(1/2)+2)/10)) = 0

3/8*8*(x-((2-2*21^(1/2))/10))*(x-((2*21^(1/2)+2)/10)) = 0

( x-((2*21^(1/2)+2)/10) )

x-((2*21^(1/2)+2)/10) = 0 // + (2*21^(1/2)+2)/10

x = (2*21^(1/2)+2)/10

( x-((2-2*21^(1/2))/10) )

x-((2-2*21^(1/2))/10) = 0 // + (2-2*21^(1/2))/10

x = (2-2*21^(1/2))/10

x in { (2*21^(1/2)+2)/10, (2-2*21^(1/2))/10 }

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