4x-28/(-3x-28)

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Solution for 4x-28/(-3x-28) equation:


D( x )

-3*x-28 = 0

-3*x-28 = 0

-3*x-28 = 0

-3*x-28 = 0 // + 28

-3*x = 28 // : -3

x = 28/(-3)

x = -28/3

x in (-oo:-28/3) U (-28/3:+oo)

4*x-(28/(-3*x-28)) = 0

4*x-28*(-3*x-28)^-1 = 0

4*x-28/(-3*x-28) = 0

(4*x*(-3*x-28))/(-3*x-28)-28/(-3*x-28) = 0

4*x*(-3*x-28)-28 = 0

-12*x^2-112*x-28 = 0

-12*x^2-112*x-28 = 0

-4*(3*x^2+28*x+7) = 0

3*x^2+28*x+7 = 0

DELTA = 28^2-(3*4*7)

DELTA = 700

DELTA > 0

x = (700^(1/2)-28)/(2*3) or x = (-700^(1/2)-28)/(2*3)

x = (10*7^(1/2)-28)/6 or x = (-10*7^(1/2)-28)/6

-4*(x-((-10*7^(1/2)-28)/6))*(x-((10*7^(1/2)-28)/6)) = 0

(-4*(x-((-10*7^(1/2)-28)/6))*(x-((10*7^(1/2)-28)/6)))/(-3*x-28) = 0

(-4*(x-((-10*7^(1/2)-28)/6))*(x-((10*7^(1/2)-28)/6)))/(-3*x-28) = 0 // * -3*x-28

-4*(x-((-10*7^(1/2)-28)/6))*(x-((10*7^(1/2)-28)/6)) = 0

( -4 )

-4 = 0

x belongs to the empty set

( x-((-10*7^(1/2)-28)/6) )

x-((-10*7^(1/2)-28)/6) = 0 // + (-10*7^(1/2)-28)/6

x = (-10*7^(1/2)-28)/6

( x-((10*7^(1/2)-28)/6) )

x-((10*7^(1/2)-28)/6) = 0 // + (10*7^(1/2)-28)/6

x = (10*7^(1/2)-28)/6

x in { (-10*7^(1/2)-28)/6, (10*7^(1/2)-28)/6 }

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