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'''Step 1'''
Multiply '''a''' and '''c'''. (Multiply the number in front of <math>x^2</math> and the [[constant term|constant]])<br />
Multipy 6 and -3, <math>6(-3)=-18</math><br /><br />
'''Step 2'''
Find factors of '''ac'''.<br />
Find factors of -18: -1(18), 1(-18), -2(9), 2(-9), -3(6), and 3(-6).<br /><br />
'''Step 3'''
Decide which factors of '''ac''' that when added together will give '''b'''.<br />
The combination of -2 and 9 is the one needed since -2+9=7.<br /><br />
'''Step 4'''
Rewrite the middle term of '''bx''' using the factors found in step 3.
Instead of <math>7x</math>, write <math>6x^2-2x+9x-18</math><br /><br />
'''Step 5'''
Factor by grouping.<br />
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