((10^2X^2-10^2X)/10-31)(10^3X^2-10^3X/10^4)

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Solution for ((10^2X^2-10^2X)/10-31)(10^3X^2-10^3X/10^4) equation: 


X in (-oo:+oo)

((10^2*X^2-(10^2*X))/10-31)*(10^3*X^2-((10^3*X)/(10^4))) = 0

((10^2*X^2-(10^2*X))/10-31)*(10^3*X^2-(10^-1*X)) = 0

(1000*X^2-1/10*X)*((100*X^2-100*X)/10-31) = 0

1000*X^2-1/10*X = 0

X*(1000*X-1/10) = 0

1000*X-1/10 = 0 // + 1/10

1000*X = 1/10 // : 1000

X = 1/10/1000

X = 1/10000

X*(X-1/10000) = 0

(100*X^2-100*X)/10-31 = 0

(100*X^2-100*X)/10+(-31*10)/10 = 0

100*X^2-100*X-31*10 = 0

100*X^2-100*X-310 = 0

100*X^2-100*X-310 = 0

10*(10*X^2-10*X-31) = 0

10*X^2-10*X-31 = 0

DELTA = (-10)^2-(-31*4*10)

DELTA = 1340

DELTA > 0

X = (1340^(1/2)+10)/(2*10) or X = (10-1340^(1/2))/(2*10)

X = (2*335^(1/2)+10)/20 or X = (10-2*335^(1/2))/20

10*(X-((10-2*335^(1/2))/20))*(X-((2*335^(1/2)+10)/20)) = 0

(10*(X-((10-2*335^(1/2))/20))*(X-((2*335^(1/2)+10)/20)))/10 = 0

(10*(X-((10-2*335^(1/2))/20))*(X-((2*335^(1/2)+10)/20)))/10 = 0 // * 10

10*(X-((10-2*335^(1/2))/20))*(X-((2*335^(1/2)+10)/20)) = 0

10*X*(X-1/10000)*(X-((10-2*335^(1/2))/20))*(X-((2*335^(1/2)+10)/20)) = 0

( X-((10-2*335^(1/2))/20) )

X-((10-2*335^(1/2))/20) = 0 // + (10-2*335^(1/2))/20

X = (10-2*335^(1/2))/20

( X-((2*335^(1/2)+10)/20) )

X-((2*335^(1/2)+10)/20) = 0 // + (2*335^(1/2)+10)/20

X = (2*335^(1/2)+10)/20

( X-1/10000 )

X-1/10000 = 0 // + 1/10000

X = 1/10000

( X )

X = 0

X in { (10-2*335^(1/2))/20, (2*335^(1/2)+10)/20, 1/10000, 0 }

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