5(X+2)/2X-14X=10

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Solution for 5(X+2)/2X-14X=10 equation: 


X in (-oo:+oo)

X*((5*(X+2))/2)-(14*X) = 10 // - 10

X*((5*(X+2))/2)-(14*X)-10 = 0

X*((5*(X+2))/2)-14*X-10 = 0

(5*X*(X+2))/2-14*X-10 = 0

(5*X*(X+2))/2+(-14*2*X)/2+(-10*2)/2 = 0

5*X*(X+2)-14*2*X-10*2 = 0

5*X^2-18*X-20 = 0

5*X^2-18*X-20 = 0

5*X^2-18*X-20 = 0

DELTA = (-18)^2-(-20*4*5)

DELTA = 724

DELTA > 0

X = (724^(1/2)+18)/(2*5) or X = (18-724^(1/2))/(2*5)

X = (2*181^(1/2)+18)/10 or X = (18-2*181^(1/2))/10

(X-((18-2*181^(1/2))/10))*(X-((2*181^(1/2)+18)/10)) = 0

((X-((18-2*181^(1/2))/10))*(X-((2*181^(1/2)+18)/10)))/2 = 0

((X-((18-2*181^(1/2))/10))*(X-((2*181^(1/2)+18)/10)))/2 = 0 // * 2

(X-((18-2*181^(1/2))/10))*(X-((2*181^(1/2)+18)/10)) = 0

( X-((18-2*181^(1/2))/10) )

X-((18-2*181^(1/2))/10) = 0 // + (18-2*181^(1/2))/10

X = (18-2*181^(1/2))/10

( X-((2*181^(1/2)+18)/10) )

X-((2*181^(1/2)+18)/10) = 0 // + (2*181^(1/2)+18)/10

X = (2*181^(1/2)+18)/10

X in { (18-2*181^(1/2))/10, (2*181^(1/2)+18)/10 }

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