SOLUTION: Hello again, internets! Can someone please help me solve this problem? You need to factor it over the set of complex #s: {{{x^3+6x^2=25x+150}}}

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Hello again, internets! Can someone please help me solve this problem? You need to factor it over the set of complex #s: {{{x^3+6x^2=25x+150}}}      Log On


   

Question 606823: Hello again, internets!
Can someone please help me solve this problem? You need to factor it over the set of complex #s: x%5E3%2B6x%5E2=25x%2B150
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x
x^3+6x^2=25x+150
x^3+6x^2-25x-150=0
factor by grouping
x^2(x+6)-25(x+6)=0
(x^2-25)(x+6)=0
difference of squares
(x+5)(x-5)(x+6)=0
x=-6, -5, or 5