x+2/5x-15*(10x^2+25x-15)

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Solution for x+2/5x-15*(10x^2+25x-15) equation: 


x in (-oo:+oo)

x-(15*(10*x^2+25*x-15))+(2/5)*x = 0

x-15*(10*x^2+25*x-15)+(2/5)*x = 0

x-15*(10*x^2+25*x-15)+(2*x)/5 = 0

(-15*5*(10*x^2+25*x-15))/5+(5*x)/5+(2*x)/5 = 0

5*x-15*5*(10*x^2+25*x-15)+2*x = 0

2*x-750*x^2-1870*x+1125 = 0

1125-750*x^2-1868*x = 0

1125-750*x^2-1868*x = 0

1125-750*x^2-1868*x = 0

DELTA = (-1868)^2-(-750*4*1125)

DELTA = 6864424

DELTA > 0

x = (6864424^(1/2)+1868)/(-750*2) or x = (1868-6864424^(1/2))/(-750*2)

x = (2*1716106^(1/2)+1868)/(-1500) or x = (1868-2*1716106^(1/2))/(-1500)

(x-((2*1716106^(1/2)+1868)/(-1500)))*(x-((1868-2*1716106^(1/2))/(-1500))) = 0

((x-((2*1716106^(1/2)+1868)/(-1500)))*(x-((1868-2*1716106^(1/2))/(-1500))))/5 = 0

((x-((2*1716106^(1/2)+1868)/(-1500)))*(x-((1868-2*1716106^(1/2))/(-1500))))/5 = 0 // * 5

(x-((2*1716106^(1/2)+1868)/(-1500)))*(x-((1868-2*1716106^(1/2))/(-1500))) = 0

( x-((1868-2*1716106^(1/2))/(-1500)) )

x-((1868-2*1716106^(1/2))/(-1500)) = 0 // + (1868-2*1716106^(1/2))/(-1500)

x = (1868-2*1716106^(1/2))/(-1500)

( x-((2*1716106^(1/2)+1868)/(-1500)) )

x-((2*1716106^(1/2)+1868)/(-1500)) = 0 // + (2*1716106^(1/2)+1868)/(-1500)

x = (2*1716106^(1/2)+1868)/(-1500)

x in { (1868-2*1716106^(1/2))/(-1500), (2*1716106^(1/2)+1868)/(-1500) }

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