18(x/(x+1))^2+15(x/(x+1))-18

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Solution for 18(x/(x+1))^2+15(x/(x+1))-18 equation: 


D( x )

x+1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:+oo)

18*(x/(x+1))^2+15*(x/(x+1))-18 = 0

(18*x^2)/((x+1)^2)+(15*x)/(x+1)-18 = 0

(18*x^2)/((x+1)^2)+(15*x*(x+1))/((x+1)^2)+(-18*(x+1)^2)/((x+1)^2) = 0

15*x*(x+1)-18*(x+1)^2+18*x^2 = 0

33*x^2-18*x^2+15*x-36*x-18 = 0

15*x^2-21*x-18 = 0

15*x^2-21*x-18 = 0

3*(5*x^2-7*x-6) = 0

5*x^2-7*x-6 = 0

DELTA = (-7)^2-(-6*4*5)

DELTA = 169

DELTA > 0

x = (169^(1/2)+7)/(2*5) or x = (7-169^(1/2))/(2*5)

x = 2 or x = -3/5

3*(x+3/5)*(x-2) = 0

(3*(x+3/5)*(x-2))/((x+1)^2) = 0

(3*(x+3/5)*(x-2))/((x+1)^2) = 0 // * (x+1)^2

3*(x+3/5)*(x-2) = 0

( x+3/5 )

x+3/5 = 0 // - 3/5

x = -3/5

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -3/5, 2 }

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