SOLUTION: Solve the equation. x3 + 9x2 = -8x x =_____(smallest value) x =_____ x =_____(largest value) I'm clues on how to do this one too.help another thing is, I don't understand

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve the equation. x3 + 9x2 = -8x x =_____(smallest value) x =_____ x =_____(largest value) I'm clues on how to do this one too.help another thing is, I don't understand      Log On


   

Question 319185: Solve the equation.
x3 + 9x2 = -8x
x =_____(smallest value)
x =_____
x =_____(largest value)
I'm clues on how to do this one too.help
another thing is, I don't understand the x=____smallest and largest value mean? what are we suppose to write in there?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3+%2B+9x%5E2+=+-8x+ Start with the given equation.


x%5E3+%2B+9x%5E2+%2B8x=0+ Add 8x to both sides.


x%28x%5E2+%2B+9x+%2B8%29=0+ Factor out the GCF 'x'


x%28x%2B8%29%28x%2B1%29=0+ Factor x%5E2+%2B+9x+%2B8 to get %28x%2B8%29%28x%2B1%29


x=0, x%2B8=0, or x%2B1=0 Use the zero product property.


x=0, x=-8, or x=-1 Solve for 'x' in each equation.


So the three solutions are x=0, x=-8, or x=-1. I'll let you sort them.