4(x+3)+2-8(x+4)=2x-3-4(x+2)-60/x

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Solution for 4(x+3)+2-8(x+4)=2x-3-4(x+2)-60/x equation: 


D( x )

x = 0

x = 0

x = 0

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

4*(x+3)-(8*(x+4))+2 = 2*x-(4*(x+2))-(60/x)-3 // - 2*x-(4*(x+2))-(60/x)-3

4*(x+3)-(8*(x+4))+4*(x+2)-(2*x)+60/x+2+3 = 0

4*(x+3)-8*(x+4)+4*(x+2)-2*x+60/x+2+3 = 0

(4*x*(x+3))/x+(-8*x*(x+4))/x+(4*x*(x+2))/x+(-2*x*x)/x+60/x+(2*x)/x+(3*x)/x = 0

4*x*(x+3)-8*x*(x+4)+4*x*(x+2)-2*x*x+2*x+3*x+60 = 0

4*x^2-4*x^2-2*x^2-20*x+8*x+2*x+3*x+60 = 0

2*x-2*x^2-12*x+3*x+60 = 0

3*x-2*x^2-10*x+60 = 0

60-2*x^2-7*x = 0

60-2*x^2-7*x = 0

60-2*x^2-7*x = 0

DELTA = (-7)^2-(-2*4*60)

DELTA = 529

DELTA > 0

x = (529^(1/2)+7)/(-2*2) or x = (7-529^(1/2))/(-2*2)

x = -15/2 or x = 4

(x+15/2)*(x-4) = 0

((x+15/2)*(x-4))/x = 0

((x+15/2)*(x-4))/x = 0 // * x

(x+15/2)*(x-4) = 0

( x+15/2 )

x+15/2 = 0 // - 15/2

x = -15/2

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -15/2, 4 }

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