u-4/3u+1/4=-1/9(u-3/2)

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Solution for u-4/3u+1/4=-1/9(u-3/2) equation:


u in (-oo:+oo)

u-((4/3)*u)+1/4 = (-1/9)*(u-(3/2)) // - (-1/9)*(u-(3/2))

u-((-1/9)*(u-(3/2)))-((4/3)*u)+1/4 = 0

(1/9)*(u-3/2)+u+(-4/3)*u+1/4 = 0

1/9*(u-3/2)+u+(-4*u)/3+1/4 = 0

(1/9*3*4*(u-3/2))/(3*4)+(3*4*u)/(3*4)+(-4*4*u)/(3*4)+(1*3)/(3*4) = 0

1/9*3*4*(u-3/2)+3*4*u-4*4*u+1*3 = 0

40/3*u-16*u-2+3 = 0

3-8/3*u-2 = 0

1-8/3*u = 0

(1-8/3*u)/(3*4) = 0

(1-8/3*u)/(3*4) = 0 // * 3*4

1-8/3*u = 0

1-8/3*u = 0 // - 1

-8/3*u = -1 // : -8/3

u = -1/(-8/3)

u = 3/8

u = 3/8

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