You can put this solution on YOUR website! For:
2x^2+12x+3x+18
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Notice that of there is NO common factor for the four terms. The idea is to group terms together so there is a common factor.
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Grouping:
(2x^2+12x) + (3x+18)
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Now, factor each "sub group":
2x(x+6) + 3(x+6)
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Between the two terms above, the common factor is (x+6), factor it out:
(x+6)(2x+3)