(48x^2-510x-2520)/81000=0

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Solution for (48x^2-510x-2520)/81000=0 equation: 


x in (-oo:+oo)

(48*x^2-(510*x)-2520)/81000 = 0

(48*x^2-510*x-2520)/81000 = 0

48*x^2-510*x-2520 = 0

6*(8*x^2-85*x-420) = 0

8*x^2-85*x-420 = 0

DELTA = (-85)^2-(-420*4*8)

DELTA = 20665

DELTA > 0

x = (20665^(1/2)+85)/(2*8) or x = (85-20665^(1/2))/(2*8)

x = (20665^(1/2)+85)/16 or x = (85-20665^(1/2))/16

6*(x-((85-20665^(1/2))/16))*(x-((20665^(1/2)+85)/16)) = 0

(6*(x-((85-20665^(1/2))/16))*(x-((20665^(1/2)+85)/16)))/81000 = 0

( 6 )

6 = 0

x belongs to the empty set

( x-((20665^(1/2)+85)/16) )

x-((20665^(1/2)+85)/16) = 0 // + (20665^(1/2)+85)/16

x = (20665^(1/2)+85)/16

( x-((85-20665^(1/2))/16) )

x-((85-20665^(1/2))/16) = 0 // + (85-20665^(1/2))/16

x = (85-20665^(1/2))/16

x in { (20665^(1/2)+85)/16, (85-20665^(1/2))/16 }

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