SOLUTION: I'm fairly positive that this is the correct place for the question... I need some assistance in solving this 3rd grade polynome-equation: x^3+10x^2+26x=0 I've gotten myself

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I'm fairly positive that this is the correct place for the question... I need some assistance in solving this 3rd grade polynome-equation: x^3+10x^2+26x=0 I've gotten myself       Log On


   

Question 32726: I'm fairly positive that this is the correct place for the question... I need some assistance in solving this 3rd grade polynome-equation:
x^3+10x^2+26x=0
I've gotten myself stuck in a bunch of mathematical gibberish which I'd rather not submit out of shame (*sobs*). Any help will be appreciated.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
x%5E3%2B10x%5E2%2B26x+=+0 Factor an x.
x%28x%5E2%2B10x%2B26%29+=+0 Apply the zero products principle.
x+=+0 and/or x%5E2%2B10x%2B26+=+0
Solve:
x%5E2%2B10x%2B26+=+0 Solve using the quadratic formula:x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
x=%28-10%2B-sqrt%2810%5E2-4%281%29%2826%29%29%29%2F2%281%29
x=%28-10%2B-sqrt%28100-104%29%29%2F2
x=%28-10%2B-sqrt%28-4%29%29%2F2
x=-5%2B-sqrt%28-1%29
The roots are:
x = 0
x = -5+i or -(5-i)
x = -5-i or -(5+i)