((4-x)/7x)=-(5/3)

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Solution for ((4-x)/7x)=-(5/3) equation:


x in (-oo:+oo)

x*((4-x)/7) = -(5/3) // + 5/3

x*((4-x)/7)+5/3 = 0

(x*(4-x))/7+5/3 = 0

(3*x*(4-x))/(3*7)+(5*7)/(3*7) = 0

3*x*(4-x)+5*7 = 0

12*x-3*x^2+35 = 0

12*x-3*x^2+35 = 0

12*x-3*x^2+35 = 0

DELTA = 12^2-(-3*4*35)

DELTA = 564

DELTA > 0

x = (564^(1/2)-12)/(-3*2) or x = (-564^(1/2)-12)/(-3*2)

x = (2*141^(1/2)-12)/(-6) or x = (-2*141^(1/2)-12)/(-6)

(x-((2*141^(1/2)-12)/(-6)))*(x-((-2*141^(1/2)-12)/(-6))) = 0

((x-((2*141^(1/2)-12)/(-6)))*(x-((-2*141^(1/2)-12)/(-6))))/(3*7) = 0

((x-((2*141^(1/2)-12)/(-6)))*(x-((-2*141^(1/2)-12)/(-6))))/(3*7) = 0 // * 3*7

(x-((2*141^(1/2)-12)/(-6)))*(x-((-2*141^(1/2)-12)/(-6))) = 0

( x-((-2*141^(1/2)-12)/(-6)) )

x-((-2*141^(1/2)-12)/(-6)) = 0 // + (-2*141^(1/2)-12)/(-6)

x = (-2*141^(1/2)-12)/(-6)

( x-((2*141^(1/2)-12)/(-6)) )

x-((2*141^(1/2)-12)/(-6)) = 0 // + (2*141^(1/2)-12)/(-6)

x = (2*141^(1/2)-12)/(-6)

x in { (-2*141^(1/2)-12)/(-6), (2*141^(1/2)-12)/(-6) }

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