X/-3=x^2-10x

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Solution for X/-3=x^2-10x equation: 


x in (-oo:+oo)

X/(-3) = x^2-(10*x) // - x^2-(10*x)

X/(-3)-x^2+10*x = 0

10*x-1/3*X-x^2 = 0

DELTA = 10^2-(-1*(-1/3)*4*X)

DELTA = 100-4/3*X

100-4/3*X = 0

100-4/3*X = 0 // - 100

-4/3*X = -100 // : -4/3

X = -100/(-4/3)

X = 75

DELTA = 0  <=>  t_1 = 75

x = -10/(-1*2) i X = 75

x = 5 i X = 75

( x = ((100-4/3*X)^(1/2)-10)/(-1*2) or x = (-(100-4/3*X)^(1/2)-10)/(-1*2) ) i X > 75

( x = ((100-4/3*X)^(1/2)-10)/(-2) or x = ((100-4/3*X)^(1/2)+10)/2 ) i X > 75

X-75 > 0

X-75 > 0 // + 75

X > 75

x in { 5, ((100-4/3*X)^(1/2)-10)/(-2), ((100-4/3*X)^(1/2)+10)/2 }

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