SOLUTION: I don't understand a problem can somebody help me step by step with this. It is x^3=x^2+30x and the directions says solve the given equations by any method.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I don't understand a problem can somebody help me step by step with this. It is x^3=x^2+30x and the directions says solve the given equations by any method.      Log On


   

Question 961614: I don't understand a problem can somebody help me step by step with this. It is x^3=x^2+30x and the directions says solve the given equations by any method.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Should be simple, if you recognize the factorability.


x%5E3-x%5E2-30x=0
x%28x%5E2-x-30%29=0
still more factoring,...
x%28x-6%29%28x%2B5%29=0

Continue using Zero Product Rule. Three solutions as a union.

x can be any one of {-5, 0, 6}.