SOLUTION: <pre>>>please write in steps and please explain each. thank you for your help Solve for x: 2x<sup>3</sup>+9x<sup>2</sup>+4x = 0 <<

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: <pre>>>please write in steps and please explain each. thank you for your help Solve for x: 2x<sup>3</sup>+9x<sup>2</sup>+4x = 0 <<       Log On


   

Question 4144: 
>>please write in steps and please explain each.

thank you for your help

Solve for x:

2x3+9x2+4x = 0 <<

 

Answer by AnlytcPhil(1806) About Me  (Show Source): 

You can put this solution on YOUR website!
 
>>please write in steps and please explain each.

thank you for your help

Solve for x:

2x3+9x2+4x = 0 <<

Factor out x on the left:

x(2x2+9x+4) = 0

Factor the trinomial in parentheses:

x(x+4)(2x+1) = 0

Set each factor = 0

x = 0  (that's one solution)

x+4 = 0

  x = -4 (that's a second solution)

2x+1 = 0

  2x = -1

   x = -1/2 (that's the third solution)

Edwin