SOLUTION: solve the inequality -x^2 + 2x (< or equal to) -6x + 12 Can someone show me the solution

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Question 668355: solve the inequality -x^2 + 2x (< or equal to) -6x + 12
Can someone show me the solution
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
-x%5E2+%2B+2x%3C=+-6x+%2B+12
Add 6x to both sides
-x%5E2+%2B+2x%2B6x%3C=+-6x+%2B6x%2B+12

-x%5E2%2B8x%3C=12
Add -12 to both sides
-x%5E2%2B8x-12%3C=12-12
-x%5E2%2B8x-12%3C=0

-x%5E2-6x-2x-12%3C=0
-x%28x%2B6%29-2%28x%2B6%29%3C=0
%28x%2B6%29%28-x-2%29%3C=0
x%3C=-6
OR
x%3E=-2