x-14=-10+21/x

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Solution for x-14=-10+21/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-14 = 21/x-10 // - 21/x-10

x-(21/x)-14+10 = 0

x-21*x^-1-14+10 = 0

1*x^1-21*x^-1-4*x^0 = 0

(1*x^2-4*x^1-21*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-4*x^1-21*x^0) = 0

x^1

x^2-4*x-21 = 0

x^2-4*x-21 = 0

DELTA = (-4)^2-(-21*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+4)/(1*2) or x = (4-100^(1/2))/(1*2)

x = 7 or x = -3

x in { -3, 7} 

x in { -3, 7 }

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