(7x/x^2+3x-28)*(3x-12)/28x^2

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Solution for (7x/x^2+3x-28)*(3x-12)/28x^2 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

x^2*(((3*x+(7*x)/(x^2)-28)*(3*x-12))/28) = 0

(x^2*(3*x+7*x^-1-28)*(3*x-12))/28 = 0

3*x+7*x^-1-28 = 0

3*x^1+7*x^-1-28*x^0 = 0

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

x^1*(3*x^2-28*x^1+7*x^0) = 0

x^1

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

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

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

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

(x^2*(x-((28-10*7^(1/2))/6))*(x-((10*7^(1/2)+28)/6))*(3*x-12))/28 = 0

( 3*x-12 )

3*x-12 = 0 // + 12

3*x = 12 // : 3

x = 12/3

x = 4

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

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

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

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0}

x in { 4, (10*7^(1/2)+28)/6, (28-10*7^(1/2))/6 }

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