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(2a+1)(a+3)-(2a+1)(a-3)=0
We multiply parentheses ..
(+2a^2+6a+a+3)-(2a+1)(a-3)=0
We get rid of parentheses
2a^2+6a+a-(2a+1)(a-3)+3=0
We multiply parentheses ..
2a^2-(+2a^2-6a+a-3)+6a+a+3=0
We add all the numbers together, and all the variables
2a^2-(+2a^2-6a+a-3)+7a+3=0
We get rid of parentheses
2a^2-2a^2+6a-a+7a+3+3=0
We add all the numbers together, and all the variables
12a+6=0
We move all terms containing a to the left, all other terms to the right
12a=-6
a=-6/12
a=-1/2
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