SOLUTION: How do you solve 5x^3+54x^2-72x for x? I would like you to show each step and explain why you did each step. And I would like you to use factoring to solve the equation. Thank y

Algebra ->  Systems-of-equations -> SOLUTION: How do you solve 5x^3+54x^2-72x for x? I would like you to show each step and explain why you did each step. And I would like you to use factoring to solve the equation. Thank y      Log On


   

Question 45989: How do you solve 5x^3+54x^2-72x for x? I would like you to show each step and explain why you did each step. And I would like you to use factoring to solve the equation. Thank you so much.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E3+%2B+54x%5E2+-+72x
x%285x%5E2+%2B+54x+-+72%29 take out the common factor
x%285x%5E2+%2B+54x+-+72%29 two factors of (5*-72) that sum to (54): 60 and -6
x%285x%5E2+%2B+60x+-+6x+-+72%29
x%28%285x%5E2+%2B+60x%29+%2B+%28-6x+-+72%29%29
x%285x%28x+%2B+12%29+-+6%28x+%2B+12%29%29
x%28x+%2B+12%29%285x+-+6%29