-3/(x+7)(x-4)=5/5x+1

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Solution for -3/(x+7)(x-4)=5/5x+1 equation: 


D( x )

x+7 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

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

(-3/(x+7))*(x-4) = (5/5)*x+1 // - (5/5)*x+1

(-3/(x+7))*(x-4)-((5/5)*x)-1 = 0

(-3/(x+7))*(x-4)-x-1 = 0

(-3*(x-4))/(x+7)-x-1 = 0

(-3*(x-4))/(x+7)+(-x*(x+7))/(x+7)+(-1*(x+7))/(x+7) = 0

-3*(x-4)-x*(x+7)-1*(x+7) = 0

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

5-x^2-11*x = 0

5-x^2-11*x = 0

5-x^2-11*x = 0

DELTA = (-11)^2-(-1*4*5)

DELTA = 141

DELTA > 0

x = (141^(1/2)+11)/(-1*2) or x = (11-141^(1/2))/(-1*2)

x = (141^(1/2)+11)/(-2) or x = (11-141^(1/2))/(-2)

(x-((141^(1/2)+11)/(-2)))*(x-((11-141^(1/2))/(-2))) = 0

((x-((141^(1/2)+11)/(-2)))*(x-((11-141^(1/2))/(-2))))/(x+7) = 0

((x-((141^(1/2)+11)/(-2)))*(x-((11-141^(1/2))/(-2))))/(x+7) = 0 // * x+7

(x-((141^(1/2)+11)/(-2)))*(x-((11-141^(1/2))/(-2))) = 0

( x-((11-141^(1/2))/(-2)) )

x-((11-141^(1/2))/(-2)) = 0 // + (11-141^(1/2))/(-2)

x = (11-141^(1/2))/(-2)

( x-((141^(1/2)+11)/(-2)) )

x-((141^(1/2)+11)/(-2)) = 0 // + (141^(1/2)+11)/(-2)

x = (141^(1/2)+11)/(-2)

x in { (11-141^(1/2))/(-2), (141^(1/2)+11)/(-2) }

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