6x-8=(8x-1)/(7x+5)

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Solution for 6x-8=(8x-1)/(7x+5) 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-8 = (8*x-1)/(7*x+5) // - (8*x-1)/(7*x+5)

6*x-((8*x-1)/(7*x+5))-8 = 0

(-1*(8*x-1))/(7*x+5)+6*x-8 = 0

(-1*(8*x-1))/(7*x+5)+(6*x*(7*x+5))/(7*x+5)+(-8*(7*x+5))/(7*x+5) = 0

6*x*(7*x+5)-1*(8*x-1)-8*(7*x+5) = 0

42*x^2+22*x-56*x-40+1 = 0

42*x^2-34*x-39 = 0

42*x^2-34*x-39 = 0

42*x^2-34*x-39 = 0

DELTA = (-34)^2-(-39*4*42)

DELTA = 7708

DELTA > 0

x = (7708^(1/2)+34)/(2*42) or x = (34-7708^(1/2))/(2*42)

x = (2*1927^(1/2)+34)/84 or x = (34-2*1927^(1/2))/84

(x-((34-2*1927^(1/2))/84))*(x-((2*1927^(1/2)+34)/84)) = 0

((x-((34-2*1927^(1/2))/84))*(x-((2*1927^(1/2)+34)/84)))/(7*x+5) = 0

((x-((34-2*1927^(1/2))/84))*(x-((2*1927^(1/2)+34)/84)))/(7*x+5) = 0 // * 7*x+5

(x-((34-2*1927^(1/2))/84))*(x-((2*1927^(1/2)+34)/84)) = 0

( x-((2*1927^(1/2)+34)/84) )

x-((2*1927^(1/2)+34)/84) = 0 // + (2*1927^(1/2)+34)/84

x = (2*1927^(1/2)+34)/84

( x-((34-2*1927^(1/2))/84) )

x-((34-2*1927^(1/2))/84) = 0 // + (34-2*1927^(1/2))/84

x = (34-2*1927^(1/2))/84

x in { (2*1927^(1/2)+34)/84, (34-2*1927^(1/2))/84 }

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