3(w+4)/4w=-5/4

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Solution for 3(w+4)/4w=-5/4 equation:


w in (-oo:+oo)

w*((3*(w+4))/4) = -5/4 // + -5/4

w*((3*(w+4))/4)-(-5/4) = 0

w*((3*(w+4))/4)+5/4 = 0

(3*w*(w+4))/4+5/4 = 0

3*w*(w+4)+5 = 0

3*w^2+12*w+5 = 0

3*w^2+12*w+5 = 0

3*w^2+12*w+5 = 0

DELTA = 12^2-(3*4*5)

DELTA = 84

DELTA > 0

w = (84^(1/2)-12)/(2*3) or w = (-84^(1/2)-12)/(2*3)

w = (2*21^(1/2)-12)/6 or w = (-2*21^(1/2)-12)/6

(w-((-2*21^(1/2)-12)/6))*(w-((2*21^(1/2)-12)/6)) = 0

((w-((-2*21^(1/2)-12)/6))*(w-((2*21^(1/2)-12)/6)))/4 = 0

((w-((-2*21^(1/2)-12)/6))*(w-((2*21^(1/2)-12)/6)))/4 = 0 // * 4

(w-((-2*21^(1/2)-12)/6))*(w-((2*21^(1/2)-12)/6)) = 0

( w-((-2*21^(1/2)-12)/6) )

w-((-2*21^(1/2)-12)/6) = 0 // + (-2*21^(1/2)-12)/6

w = (-2*21^(1/2)-12)/6

( w-((2*21^(1/2)-12)/6) )

w-((2*21^(1/2)-12)/6) = 0 // + (2*21^(1/2)-12)/6

w = (2*21^(1/2)-12)/6

w in { (-2*21^(1/2)-12)/6, (2*21^(1/2)-12)/6 }

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