x^3/8-14x=3x^2/4

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Solution for x^3/8-14x=3x^2/4 equation: 


x in (-oo:+oo)

(x^3)/8-(14*x) = (3*x^2)/4 // - (3*x^2)/4

(x^3)/8-((3*x^2)/4)-(14*x) = 0

(x^3)/8+(-3/4)*x^2-14*x = 0

1/8*x^3-3/4*x^2-14*x = 0

x*(1/8*x^2-3/4*x-14) = 0

1/8*x^2-3/4*x-14 = 0

DELTA = (-3/4)^2-(-14*1/8*4)

DELTA = 121/16

DELTA > 0

x = ((121/16)^(1/2)+3/4)/(1/8*2) or x = (3/4-(121/16)^(1/2))/(1/8*2)

x = 14 or x = -8

x = 0

x = 0

x in { -8, 14, 0 }

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