14-8/w=3w/4-21

Solution for 14-8/w=3w/4-21 equation:

D( w )

w = 0

w = 0

w = 0

w in (-oo:0) U (0:+oo)

14-(8/w) = (3*w)/4-21 // - (3*w)/4-21

14-((3*w)/4)-(8/w)+21 = 0

(-3/4)*w-8*w^-1+14+21 = 0

35*w^0-3/4*w^1-8*w^-1 = 0

(35*w^1-3/4*w^2-8*w^0)/(w^1) = 0 // * w^2

w^1*(35*w^1-3/4*w^2-8*w^0) = 0

w^1

(-3/4)*w^2+35*w-8 = 0

(-3/4)*w^2+35*w-8 = 0

DELTA = 35^2-(-8*4*(-3/4))

DELTA = 1201

DELTA > 0

w = (1201^(1/2)-35)/(2*(-3/4)) or w = (-1201^(1/2)-35)/(2*(-3/4))

w = -2/3*(1201^(1/2)-35) or w = 2/3*(1201^(1/2)+35)

w in { -2/3*(1201^(1/2)-35), 2/3*(1201^(1/2)+35)} 

w in { -2/3*(1201^(1/2)-35), 2/3*(1201^(1/2)+35) }