SOLUTION: Please help me factor this equation: {{{ -3x^2+5x+2 }}}

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Question 881172: Please help me factor this equation:
+-3x%5E2%2B5x%2B2+
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It's not an equation without an ' = ' sign
+f%28x%29+=+-3x%5E2+%2B+5x+%2B+2++
Set +f%28x%29+=+0+ to find roots
Use the quadratic formula
x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+-3+
+b+=+5+
+c+=+2+
---------------
+x+=+%28-5+%2B-+sqrt%28+5%5E2+-+4%2A%28-3%29%2A2+%29%29%2F%282%2A%28-3%29%29+
+x+=+%28-5+%2B-+sqrt%28+25+%2B+24+%29%29%2F%28+-6%29+
+x+=+%28-5+%2B-+sqrt%28+49+%29%29%2F%28+-6%29+
+x+=+%28+-5+%2B+7+%29+%2F+%28-6%29+
+x+=+-1%2F3+
and
+x+=+%28+-5+-+7+%29+%2F+%28-6%29+
+x+=+2+
The factors are:
+f%28x%29+=+%28+x+%2B+1%2F3+%29%2A%28+x+-+2+%29++
check:
+%28+x+%2B+1%2F3+%29%2A%28+x+-+2+%29+=+x%5E2+%2B+%281%2F3%29%2Ax+-+2x+-+2%2F3+
+x%5E2+%2B+%281%2F3%29%2Ax+-+2x+-+2%2F3++=+0+
+x%5E2+-+%285%2F3%29%2Ax+-+2%2F3++=+0+
Multiply both sides by +-3+
+-3x%5E2+%2B+5x+%2B+2+=+0+
OK