7/x=9/7x-8

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Solution for 7/x=9/7x-8 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

7/x = (9/7)*x-8 // - (9/7)*x-8

7/x-((9/7)*x)+8 = 0

(-9/7)*x+7/x+8 = 0

7*x^-1-9/7*x^1+8*x^0 = 0

(8*x^1-9/7*x^2+7*x^0)/(x^1) = 0 // * x^2

x^1*(8*x^1-9/7*x^2+7*x^0) = 0

x^1

(-9/7)*x^2+8*x+7 = 0

(-9/7)*x^2+8*x+7 = 0

DELTA = 8^2-(4*7*(-9/7))

DELTA = 100

DELTA > 0

x = (100^(1/2)-8)/(2*(-9/7)) or x = (-100^(1/2)-8)/(2*(-9/7))

x = -7/9 or x = 7

x in { -7/9, 7} 

x in { -7/9, 7 }

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