SOLUTION: how do you solve 0.9x(7x+6)is greater than or equal to 1.7-(x+6)?

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Question 238606: how do you solve 0.9x(7x+6)is greater than or equal to 1.7-(x+6)?
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
We may solve this using the decimals or multiply both sides by 10 in order to deal with just integers. I'll work both ways, you choose what is easier for you.
Problem:
%280.9x%287x%2B6%29%29%3E=%281.7-%28x%2B6%29%29
.
With decimals:
0.9x%287x%2B6%29%3E=1.7-%28x%2B6%29
6.3x%5E2%2B5.4%3E=1.7-x-6
6.3x%5E2%2Bx%3E=-9.7
same as to say...
6.3x%5E2%2Bx%2B9.7%3E=0
.
If you multiply by 10:
10%280.9x%287x%2B6%29%29%3E=10%281.7-%28x%2B6%29%29
10%280.9x%287x%2B6%29%29%3E=10%281.7-x-6%29%29
9x%287x%2B6%29%3E=17-10x-60
63x%5E2%2B54%3E=17-60-10x
63x%5E2%2B10x%2B54%3E=-43
63x%5E2%2B10x%2B97%3E=0