SOLUTION: how is this problem solved? I do not understand. 6x+1x^2=27 Thanks!

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Question 48261: how is this problem solved? I do not understand.
6x+1x^2=27
Thanks!
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Presumably you are being asked to solve for x.
6x%2Bx%5E2+=+27 (You don't need the 1 in front of the x%5E2). Subtract 27 from both sides of the equation.
x%5E2%2B6x-27+=+0 Solve this quadratic equation by factoring.
x%5E2%2B6x-27+=+%28x-9%29%28x%2B3%29
%28x-9%29%28x%2B3%29+=+0 Apply the zero product principle.
x-9+=+0 and/or x%2B3+=+0
If x-9+=+0 then x+=+9
If x%2B3+=+0 then x+=+-3
The roots are:
x = 9
x = -3