3/2w^3x^2-4/7w^2x

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Solution for 3/2w^3x^2-4/7w^2x equation: 


x in (-oo:+oo)

(3/2)*w^3*x^2-((4/7)*w^2*x) = 0

(3/2)*w^3*x^2+(-4/7)*w^2*x = 0

3/2*w^3*x^2-4/7*w^2*x = 0

DELTA = (-4/7*w^2)^2-(0*3/2*4*w^3)

DELTA = 16/49*w^4

16/49*w^4 = 0

16/49*w^4 = 0 // : 16/49

w^4 = 0

w = 0

DELTA = 0  <=>  t_1 = 0

x = (-(-4/7*w^2))/(3/2*2*w^3) i w = 0

x = 4/21*w^-1 i w = 0

( x = ((16/49*w^4)^(1/2)-(-4/7*w^2))/(3/2*2*w^3) or x = (-(-4/7*w^2)-(16/49*w^4)^(1/2))/(3/2*2*w^3) ) i w > 0

( x = 8/21*w^-1 or x = 0 ) i w > 0

w+0 > 0

w > 0

w+0 > 0 // - 0

w > 0

x in { 4/21*w^-1, 8/21*w^-1, 0 }

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