x^3/10-18x=4x^2/5

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Solution for x^3/10-18x=4x^2/5 equation: 


x in (-oo:+oo)

(x^3)/10-(18*x) = (4*x^2)/5 // - (4*x^2)/5

(x^3)/10-((4*x^2)/5)-(18*x) = 0

(x^3)/10+(-4/5)*x^2-18*x = 0

1/10*x^3-4/5*x^2-18*x = 0

x*(1/10*x^2-4/5*x-18) = 0

1/10*x^2-4/5*x-18 = 0

DELTA = (-4/5)^2-(-18*1/10*4)

DELTA = 196/25

DELTA > 0

x = ((196/25)^(1/2)+4/5)/(1/10*2) or x = (4/5-(196/25)^(1/2))/(1/10*2)

x = 18 or x = -10

x = 0

x = 0

x in { -10, 18, 0 }

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