((X^3)+x+30)/(x+3)=(x^2)-3x+10

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Solution for ((X^3)+x+30)/(x+3)=(x^2)-3x+10 equation: 


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:+oo)

(X^3+x+30)/(x+3) = x^2-(3*x)+10 // - x^2-(3*x)+10

(X^3+x+30)/(x+3)-x^2+3*x-10 = 0

(X^3+x+30)/(x+3)+(-x^2*(x+3))/(x+3)+(3*x*(x+3))/(x+3)+(-10*(x+3))/(x+3) = 0

3*x*(x+3)-x^2*(x+3)-10*(x+3)+X^3+x+30 = 0

X^3-x^3-3*x^2+3*x^2+x+9*x-10*x-30+30 = 0

X^3-x^3+10*x-10*x-30+30 = 0

X^3-x^3 = 0

(X^3-x^3)/(x+3) = 0

(X^3-x^3)/(x+3) = 0 // * x+3

X^3-x^3 = 0

-1*x^3 = -X^3 // : -1

x^3 = X^3

x^3 = X^3 // ^ 1/3

x = X

x = X

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