7x-5/(x-2)(x+5)

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Solution for 7x-5/(x-2)(x+5) equation: 


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

7*x-((5/(x-2))*(x+5)) = 0

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

(-5*(x+5))/(x-2)+7*x = 0

(-5*(x+5))/(x-2)+(7*x*(x-2))/(x-2) = 0

7*x*(x-2)-5*(x+5) = 0

7*x^2-19*x-25 = 0

7*x^2-19*x-25 = 0

7*x^2-19*x-25 = 0

DELTA = (-19)^2-(-25*4*7)

DELTA = 1061

DELTA > 0

x = (1061^(1/2)+19)/(2*7) or x = (19-1061^(1/2))/(2*7)

x = (1061^(1/2)+19)/14 or x = (19-1061^(1/2))/14

(x-((19-1061^(1/2))/14))*(x-((1061^(1/2)+19)/14)) = 0

((x-((19-1061^(1/2))/14))*(x-((1061^(1/2)+19)/14)))/(x-2) = 0

((x-((19-1061^(1/2))/14))*(x-((1061^(1/2)+19)/14)))/(x-2) = 0 // * x-2

(x-((19-1061^(1/2))/14))*(x-((1061^(1/2)+19)/14)) = 0

( x-((1061^(1/2)+19)/14) )

x-((1061^(1/2)+19)/14) = 0 // + (1061^(1/2)+19)/14

x = (1061^(1/2)+19)/14

( x-((19-1061^(1/2))/14) )

x-((19-1061^(1/2))/14) = 0 // + (19-1061^(1/2))/14

x = (19-1061^(1/2))/14

x in { (1061^(1/2)+19)/14, (19-1061^(1/2))/14 }

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