3*5-5x+y*5/3*(-8x^2)

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Solution for 3*5-5x+y*5/3*(-8x^2) equation:


x in (-oo:+oo)

3*5-(5*x)-8*x^2*((5*y)/3) = 0

3*5-5*x-8*x^2*((5*y)/3) = 0

15-5*x-40/3*x^2*y = 0

DELTA = (-5)^2-(-40/3*4*15*y)

DELTA = 800*y+25

800*y+25 = 0

800*y+25 = 0 // - 25

800*y = -25 // : 800

y = -25/800

y = -1/32

DELTA = 0 <=> t_1 = -1/32

x = 5/(-40/3*2*y) i y = -1/32

x = -3/16*y^-1 i y = -1/32

( x = ((800*y+25)^(1/2)+5)/(-40/3*2*y) or x = (5-(800*y+25)^(1/2))/(-40/3*2*y) ) i y > -1/32

( x = -3/80*y^-1*((800*y+25)^(1/2)+5) or x = -3/80*y^-1*(5-(800*y+25)^(1/2)) ) i y > -1/32

y+1/32 > 0

y+1/32 > 0 // - 1/32

y > -1/32

x in { -3/16*y^-1, -3/80*y^-1*((800*y+25)^(1/2)+5), -3/80*y^-1*(5-(800*y+25)^(1/2)) }

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