SOLUTION: Solve an please show work. Thanks! {{{30x^2 - 9x - 3 = 0}}}

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Question 37487: Solve an please show work. Thanks!
30x%5E2+-+9x+-+3+=+0
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
30x%5E2+-+9x+-+3+=+0
divide both sides by 3
10x%5E2+-3x+-1+=+0
%285x+%2B+1%29%2A%282x+-+1%29=+0
5x+%2B+1+=+0
5x+=+-1
x+=+-1%2F5 root 1
2x+-+1+=+0
2x+=+1
x+=+1%2F2 root 2
check by subbing these values back in equation
10%2A%28-1%2F5%29%5E2+-3%2A%28-1%2F5%29+-+1+=+0
10%2A%281%2F25%29+%2B+3%2F5+-1+=+0
10%2F25+%2B+15%2F25+-25%2F25+=+0
25%2F25+-+25%2F25+=+0
0+=+0
checks OK
10%2A%281%2F2%29%5E2+-+3%2A%281%2F2%29+-+1+=+0
10%2A%281%2F4%29+-+3%2F2+-+1+=+0
10%2F4+-+6%2F4+-4%2F4+=+0
10%2F4+-+10%2F4+=+0
0+=+0
checks OK