6-(x+5)/(7x-5)(x+4)

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Solution for 6-(x+5)/(7x-5)(x+4) equation: 


D( x )

7*x-5 = 0

7*x-5 = 0

7*x-5 = 0

7*x-5 = 0 // + 5

7*x = 5 // : 7

x = 5/7

x in (-oo:5/7) U (5/7:+oo)

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

(-1*(x+5)*(x+4))/(7*x-5)+6 = 0

(-1*(x+5)*(x+4))/(7*x-5)+(6*(7*x-5))/(7*x-5) = 0

6*(7*x-5)-1*(x+5)*(x+4) = 0

33*x-x^2-50 = 0

33*x-x^2-50 = 0

33*x-x^2-50 = 0

DELTA = 33^2-(-50*(-1)*4)

DELTA = 889

DELTA > 0

x = (889^(1/2)-33)/(-1*2) or x = (-889^(1/2)-33)/(-1*2)

x = (889^(1/2)-33)/(-2) or x = (889^(1/2)+33)/2

(x-((889^(1/2)-33)/(-2)))*(x-((889^(1/2)+33)/2)) = 0

((x-((889^(1/2)-33)/(-2)))*(x-((889^(1/2)+33)/2)))/(7*x-5) = 0

((x-((889^(1/2)-33)/(-2)))*(x-((889^(1/2)+33)/2)))/(7*x-5) = 0 // * 7*x-5

(x-((889^(1/2)-33)/(-2)))*(x-((889^(1/2)+33)/2)) = 0

( x-((889^(1/2)+33)/2) )

x-((889^(1/2)+33)/2) = 0 // + (889^(1/2)+33)/2

x = (889^(1/2)+33)/2

( x-((889^(1/2)-33)/(-2)) )

x-((889^(1/2)-33)/(-2)) = 0 // + (889^(1/2)-33)/(-2)

x = (889^(1/2)-33)/(-2)

x in { (889^(1/2)+33)/2, (889^(1/2)-33)/(-2) }

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