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

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

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

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

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

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

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

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

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

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

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

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

DELTA = 7708

DELTA > 0

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

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

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

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

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

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

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