1/9(x+13)1/3(2x+3)=x+3

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Solution for 1/9(x+13)1/3(2x+3)=x+3 equation: 


x in (-oo:+oo)

(((1/9)*(x+13)^1)/3)*(2*x+3) = x+3 // - x+3

(((1/9)*(x+13)^1)/3)*(2*x+3)-x-3 = 0

(((1/9)*(x+13))/3)*(2*x+3)-x-3 = 0

(1/9*(x+13)*(2*x+3))/3-x-3 = 0

(1/9*(x+13)*(2*x+3))/3+(3*(-x))/3+(-3*3)/3 = 0

1/9*(x+13)*(2*x+3)+3*(-x)-3*3 = 0

2/9*x^2+2/9*x-9+13/3 = 0

2/9*x^2+2/9*x-14/3 = 0

2/9*x^2+2/9*x-14/3 = 0

2/3*(1/3*x^2+1/3*x-7) = 0

1/3*x^2+1/3*x-7 = 0

DELTA = (1/3)^2-(-7*1/3*4)

DELTA = 85/9

DELTA > 0

x = ((85/9)^(1/2)-1/3)/(1/3*2) or x = (-(85/9)^(1/2)-1/3)/(1/3*2)

x = 3/2*((85/9)^(1/2)-1/3) or x = -3/2*((85/9)^(1/2)+1/3)

2/3*(x+3/2*((85/9)^(1/2)+1/3))*(x-3/2*((85/9)^(1/2)-1/3)) = 0

(2/3*(x+3/2*((85/9)^(1/2)+1/3))*(x-3/2*((85/9)^(1/2)-1/3)))/3 = 0

(2/3*(x+3/2*((85/9)^(1/2)+1/3))*(x-3/2*((85/9)^(1/2)-1/3)))/3 = 0 // * 3

2/3*(x+3/2*((85/9)^(1/2)+1/3))*(x-3/2*((85/9)^(1/2)-1/3)) = 0

( x+3/2*((85/9)^(1/2)+1/3) )

x+3/2*((85/9)^(1/2)+1/3) = 0 // - 3/2*((85/9)^(1/2)+1/3)

x = -(3/2*((85/9)^(1/2)+1/3))

x = -3/2*((85/9)^(1/2)+1/3)

( x-3/2*((85/9)^(1/2)-1/3) )

x-3/2*((85/9)^(1/2)-1/3) = 0 // + -3/2*((85/9)^(1/2)-1/3)

x = -(-3/2*((85/9)^(1/2)-1/3))

x = 3/2*((85/9)^(1/2)-1/3)

x in { -3/2*((85/9)^(1/2)+1/3), 3/2*((85/9)^(1/2)-1/3) }

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