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)

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

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

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

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

10*x-7*x^2+42*x-30+20 = 0

52*x-7*x^2-10 = 0

52*x-7*x^2-10 = 0

52*x-7*x^2-10 = 0

DELTA = 52^2-(-10*(-7)*4)

DELTA = 2424

DELTA > 0

x = (2424^(1/2)-52)/(-7*2) or x = (-2424^(1/2)-52)/(-7*2)

x = (2*606^(1/2)-52)/(-14) or x = (-2*606^(1/2)-52)/(-14)

(x-((2*606^(1/2)-52)/(-14)))*(x-((-2*606^(1/2)-52)/(-14))) = 0

((x-((2*606^(1/2)-52)/(-14)))*(x-((-2*606^(1/2)-52)/(-14))))/(7*x-5) = 0

((x-((2*606^(1/2)-52)/(-14)))*(x-((-2*606^(1/2)-52)/(-14))))/(7*x-5) = 0 // * 7*x-5

(x-((2*606^(1/2)-52)/(-14)))*(x-((-2*606^(1/2)-52)/(-14))) = 0

( x-((-2*606^(1/2)-52)/(-14)) )

x-((-2*606^(1/2)-52)/(-14)) = 0 // + (-2*606^(1/2)-52)/(-14)

x = (-2*606^(1/2)-52)/(-14)

( x-((2*606^(1/2)-52)/(-14)) )

x-((2*606^(1/2)-52)/(-14)) = 0 // + (2*606^(1/2)-52)/(-14)

x = (2*606^(1/2)-52)/(-14)

x in { (-2*606^(1/2)-52)/(-14), (2*606^(1/2)-52)/(-14) }

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