SOLUTION: please help me solve this equation 5x^2 + 33x -14 = 0 i know the answer is 0.4 but dont know how to show this or to work it out the proper way

Algebra ->  Equations -> SOLUTION: please help me solve this equation 5x^2 + 33x -14 = 0 i know the answer is 0.4 but dont know how to show this or to work it out the proper way      Log On


   

Question 14446: please help me solve this equation 5x^2 + 33x -14 = 0 i know the answer is 0.4 but dont know how to show this or to work it out the proper way
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that quadratic equations have two solutions: The two solutions may be identical or they may be different, but there will be two of 'em.
5x%5E2+%2B+33x+-+14+=+0 This can be factored.
%285x+-+2%29%28x+%2B+7%29+=+0 Apply the zero products principle.
%285x+-+2%29+=+0 or %28x+%2B+7%29+=+0
If 5x+-+2+=+0, then 5x+=+2 and x+=+2%2F5 So, x+=+0.4
If x+%2B+7+=+0, then x+=+-7
The two roots are:
x = 0.4
x = -7