What is the sum of all the x-values that satisfy the equation $5 = \dfrac{x^3 - 2x^2 -8x}{x+2}$
5(x+2)=x3−2x2−8x
5(x+2)=x(x−4)(x+2)
5=x(x−4) . (notice that x can't be equal to -2)
0=x2−4x−5
x=5,−1
5(x+2)=x3−2x2−8x
5(x+2)=x(x−4)(x+2)
5=x(x−4) . (notice that x can't be equal to -2)
0=x2−4x−5
x=5,−1