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(a-2)(a+4)+6=a2-2a+3
We move all terms to the left:
(a-2)(a+4)+6-(a2-2a+3)=0
We add all the numbers together, and all the variables
-(+a^2-2a+3)+(a-2)(a+4)+6=0
We get rid of parentheses
-a^2+2a+(a-2)(a+4)-3+6=0
We multiply parentheses ..
-a^2+(+a^2+4a-2a-8)+2a-3+6=0
We add all the numbers together, and all the variables
-1a^2+(+a^2+4a-2a-8)+2a+3=0
We get rid of parentheses
-1a^2+a^2+4a-2a+2a-8+3=0
We add all the numbers together, and all the variables
4a-5=0
We move all terms containing a to the left, all other terms to the right
4a=5
a=5/4
a=1+1/4
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