SOLUTION: Please help me with this question: a(a-3)-2a(a-4)=-(a^2-4a)+6

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Question 74034: Please help me with this question:
a(a-3)-2a(a-4)=-(a^2-4a)+6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a%28a-3%29-2a%28a-4%29=-%28a%5E2-4a%29%2B6
a%5E2-3a-2a%5E2%2B8a=-a%5E2-4a%2B6Distribute the a and the 2a to their respective terms
a%5E2%2Ba%5E2-3a-4a-2a%5E2%2B8a-6=0Get all terms to one side
2a%5E2-2a%5E2-7a%2B8a-6=0
0a%5E2%2Ba-6=0Add and subtract like terms
a=6Add 6 to both sides
So a is 6.


Check:
a%28a-3%29-2a%28a-4%29=-%28a%5E2-4a%29%2B6
6%286-3%29-2%286%29%286-4%29=-%286%5E2-4%286%29%29%2B6Plug in a=6
6%283%29-12%282%29=-%2836-24%29%2B6
18-24=-12%2B6
-6=-6Works