x^3/10-14x=2x^2/5

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Solution for x^3/10-14x=2x^2/5 equation:


x in (-oo:+oo)

(x^3)/10-(14*x) = (2*x^2)/5 // - (2*x^2)/5

(x^3)/10-((2*x^2)/5)-(14*x) = 0

(x^3)/10+(-2/5)*x^2-14*x = 0

1/10*x^3-2/5*x^2-14*x = 0

x*(1/10*x^2-2/5*x-14) = 0

1/10*x^2-2/5*x-14 = 0

DELTA = (-2/5)^2-(-14*1/10*4)

DELTA = 144/25

DELTA > 0

x = ((144/25)^(1/2)+2/5)/(1/10*2) or x = (2/5-(144/25)^(1/2))/(1/10*2)

x = 14 or x = -10

x = 0

x = 0

x in { -10, 14, 0 }

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