2x+5x+10+4x+16/(3x+18)=3

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Solution for 2x+5x+10+4x+16/(3x+18)=3 equation: 


D( x )

3*x+18 = 0

3*x+18 = 0

3*x+18 = 0

3*x+18 = 0 // - 18

3*x = -18 // : 3

x = -18/3

x = -6

x in (-oo:-6) U (-6:+oo)

16/(3*x+18)+2*x+5*x+4*x+10 = 3 // - 3

16/(3*x+18)+2*x+5*x+4*x-3+10 = 0

16/(3*x+18)+(2*x*(3*x+18))/(3*x+18)+(5*x*(3*x+18))/(3*x+18)+(4*x*(3*x+18))/(3*x+18)+(-3*(3*x+18))/(3*x+18)+(10*(3*x+18))/(3*x+18) = 0

2*x*(3*x+18)+5*x*(3*x+18)+4*x*(3*x+18)-3*(3*x+18)+10*(3*x+18)+16 = 0

6*x^2+15*x^2+12*x^2+36*x+90*x+72*x-9*x+30*x-54+16+180 = 0

21*x^2+12*x^2+126*x+72*x-9*x+30*x-54+16+180 = 0

33*x^2+198*x-9*x+30*x-54+16+180 = 0

33*x^2+189*x+30*x-38+180 = 0

33*x^2+219*x+142 = 0

33*x^2+219*x+142 = 0

33*x^2+219*x+142 = 0

DELTA = 219^2-(4*33*142)

DELTA = 29217

DELTA > 0

x = (29217^(1/2)-219)/(2*33) or x = (-29217^(1/2)-219)/(2*33)

x = (29217^(1/2)-219)/66 or x = (-(29217^(1/2)+219))/66

(x+(29217^(1/2)+219)/66)*(x-((29217^(1/2)-219)/66)) = 0

((x+(29217^(1/2)+219)/66)*(x-((29217^(1/2)-219)/66)))/(3*x+18) = 0

((x+(29217^(1/2)+219)/66)*(x-((29217^(1/2)-219)/66)))/(3*x+18) = 0 // * 3*x+18

(x+(29217^(1/2)+219)/66)*(x-((29217^(1/2)-219)/66)) = 0

( x+(29217^(1/2)+219)/66 )

x+(29217^(1/2)+219)/66 = 0 // - (29217^(1/2)+219)/66

x = -((29217^(1/2)+219)/66)

( x-((29217^(1/2)-219)/66) )

x-((29217^(1/2)-219)/66) = 0 // + (29217^(1/2)-219)/66

x = (29217^(1/2)-219)/66

x in { -((29217^(1/2)+219)/66), (29217^(1/2)-219)/66 }

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